發表回覆

主題 通關密語 訪客發文, 請參考 這裡 輸入通關密語.

顯示表情符號

站內上傳圖檔     Upload.cc免費圖片上傳

數學塗鴉工具     常用數學符號表    

用Latex打數學方程式

 


 

+ / -檢視主題

Re: [數學]問一下拉式(它拉倒我了)幫解一下

發表 訪客 於 星期三 三月 22, 2006 8:58 am

taco7103 寫到:#ed_op#P#ed_cl#反拉式#ed_op#/P#ed_cl##ed_op#P#ed_cl#     y(t)=cos2x+(1/3)sinx2x-(1/3)sinx+c1#ed_op#/P#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#
#ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#最後那邊仍然有錯,y(t)=cos2x+(1/3)sinx2x-(1/3)sinx#ed_op#FONT color=#ff0000#ed_cl#+c1#ed_op#/FONT#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#FONT color=#ff0000#ed_cl##ed_op#/FONT#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#事實上是沒有c1這個東西的,因為二階微分分程有兩個constant,帶入初值條件#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#y(0),y'(0)會把那兩個constant解出來定值。#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#這也是為什麼有初值條件的微分方程用拉式變換好解的原因。#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#如果沒有給初值的話用拉式會看到一堆符號,反拉的時候會亂亂的!#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#也就是說要給  y(0) =C1  y'(0)=C2下去帶。#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#另外,拉式變換在解Volterra integral equation很好用,或是一些看不太出來的變係數微分方程。給你做參考!#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#單純計算上的齊次非變係數可以直接用特徵函數法+逆算子法或VOP法#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#當然,傅立葉變換也不錯用。不過會慢一點而且要看計算能力(反傅式變換的能力),拉式的逆變換公式也是由傅式變換那邊來的(傅立葉積分定理),大概就是這樣摟。 #ed_op#/DIV#ed_cl#

Re: [數學]問一下拉式(它拉倒我了)幫解一下

發表 taco7103 於 星期日 三月 19, 2006 11:58 am

taco7103 寫到:#ed_op#DIV#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#因為當完兵#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#….#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#有些東西頭在看已經忘了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#-----------(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#要考研究所要複習#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#)#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#題目:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#y”+4y=sinx               y(0)=1  ,  y’(0)=0#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#-------#ed_op#SPAN style="COLOR: blue"#ed_cl#(s^2+4)L[y]=s+1/(s^2+1)#ed_op#/SPAN#ed_cl#------#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#問題來了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#= =#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#我是知道#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#sinx#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式是#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#1/(s^2+1) #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#可是在條件多了#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#SPAN lang=EN-US style="COLOR: red"#ed_cl# y(0)=1  ,  y’(0)=0#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#   #ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#為何會多了一個#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: red; FONT-FAMILY: Arial"#ed_cl# s#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: red; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#一個人看講義題目真的搞不懂#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉出來後面是會算#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#但前面怎轉出來是一大頭痛#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#這提也差不多#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#Orz#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#1/4y”+y’+17y=34t     #ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#條件#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl# y(0)=0  ,y’(0)=-2#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#   #ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#多出後面的#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#T#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#我就搞不懂怎麼算#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,2#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#年沒算了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#= =#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#拜託知道的大大博士#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#老師#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#) ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#能幫忙解釋麼#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#??#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#謝謝您的指導#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#!!!#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#我的#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#E-MAIL#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl##ed_op#A href="mailto:taco7103@yahoo.com.tw"#ed_cl#taco7103@yahoo.com.tw#ed_op#/A#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#再次謝謝您#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#!!!#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#能多次幫忙的請#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#PO#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#一下#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#E-MAIL#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#有問題能再次請教您#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#希望#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#”#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#熱力學#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#”#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#也能多幫忙#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#----#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#因要報考熱流組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#Orz…………)#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl##ed_op#P#ed_cl#
#ed_op#/P#ed_cl##ed_op#P#ed_cl#-----------------------------------------------------------------#ed_op#/P#ed_cl##ed_op#P#ed_cl#已經知道怎算了#ed_op#/P#ed_cl##ed_op#P#ed_cl#s^2L[y]-sy(0)-y'(0)+4L[y]=1/(s^2+1)                    帶入條件:y(0)=1, y'(0)=0#ed_op#/P#ed_cl##ed_op#P#ed_cl#{s^2+4}L[y]=s+1/(s^2+1)#ed_op#/P#ed_cl##ed_op#P#ed_cl#L[y]=s/(s^2+4)+1/(s^2+4)(s^2+1)#ed_op#/P#ed_cl##ed_op#P#ed_cl#       =s/(s^2+4)+(1/3)/(s^2+4)-(1/3)/(s^2+1)#ed_op#/P#ed_cl##ed_op#P#ed_cl#       =s/(s^2+2^2)+(1/3)/(s^2+2^2)-(1/3)/(s^2+1^2)#ed_op#/P#ed_cl##ed_op#P#ed_cl#反拉式#ed_op#/P#ed_cl##ed_op#P#ed_cl#     y(t)=cos2x+(1/3)sinx2x-(1/3)sinx+c1#ed_op#/P#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#

發表 taco7103 於 星期五 三月 17, 2006 8:40 pm

#ed_op#DIV#ed_cl#誰人幫我解阿= =#ed_op#/DIV#ed_cl#

發表 taco7103 於 星期五 三月 17, 2006 7:28 pm

Anonymous 寫到:#ed_op#DIV#ed_cl#算出來記得要反拉式變換換回去。#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl#
#ed_op#DIV#ed_cl#---------------------#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#我知道要轉回去, 我是問後面怎轉出來的#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#題目:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#y”+4y=#ed_op#FONT style="BACKGROUND-COLOR: #ff0000"#ed_cl#sinx               y(0)=1  ,  y’(0)=0#ed_op#/FONT#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#-------#ed_op#SPAN style="COLOR: blue"#ed_cl#(s^2+4)L[y]=#ed_op#FONT style="BACKGROUND-COLOR: #ff0000"#ed_cl##ed_op#FONT color=#ffff00#ed_cl#s#ed_op#/FONT#ed_cl#+1/(s^2+1#ed_op#/FONT#ed_cl##ed_op#FONT style="BACKGROUND-COLOR: #ff0000"#ed_cl#)#ed_op#/FONT#ed_cl##ed_op#/SPAN#ed_cl#------以下的算式我都會, 就是不懂他在有條件下為何轉成拉式又多一個#ed_op#FONT style="BACKGROUND-COLOR: #ff0000" color=#ffff00#ed_cl#S#ed_op#/FONT#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl##ed_op#FONT style="BACKGROUND-COLOR: #ffffff" color=#111111#ed_cl#因為普通#ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#sinx#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式是#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#1/(s^2+1)#ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl#

發表 訪客 於 星期五 三月 17, 2006 7:19 pm

#ed_op#DIV#ed_cl#算出來記得要反拉式變換換回去。#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl#

[數學]問一下拉式(它拉倒我了)幫解一下

發表 taco7103 於 星期五 三月 17, 2006 6:40 pm

#ed_op#DIV#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#因為當完兵#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#….#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#有些東西頭在看已經忘了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#-----------(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#要考研究所要複習#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#)#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#題目:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#y”+4y=sinx               y(0)=1  ,  y’(0)=0#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#-------#ed_op#SPAN style="COLOR: blue"#ed_cl#(s^2+4)L[y]=s+1/(s^2+1)#ed_op#/SPAN#ed_cl#------#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#問題來了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#= =#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#我是知道#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#sinx#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉拉式是#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#1/(s^2+1) #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#可是在條件多了#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#SPAN lang=EN-US style="COLOR: red"#ed_cl# y(0)=1  ,  y’(0)=0#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl#   #ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#為何會多了一個#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: red; FONT-FAMILY: Arial"#ed_cl# s#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: red; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#一個人看講義題目真的搞不懂#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#轉出來後面是會算#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#但前面怎轉出來是一大頭痛#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#這提也差不多#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#Orz#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#1/4y”+y’+17y=34t     #ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#條件#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl# y(0)=0  ,y’(0)=-2#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#   #ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#多出後面的#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#T#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#我就搞不懂怎麼算#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# ,2#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; FONT-FAMILY: 新細明體"#ed_cl#年沒算了#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl#= =#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#拜託知道的大大博士#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#老師#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#) ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#能幫忙解釋麼#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#??#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#謝謝您的指導#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#!!!#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#我的#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#E-MAIL#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#:#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl##ed_op#A href="mailto:taco7103@yahoo.com.tw"#ed_cl#taco7103@yahoo.com.tw#ed_op#/A#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#再次謝謝您#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#!!!#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#能多次幫忙的請#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#PO#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#一下#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#E-MAIL#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#有問題能再次請教您#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#(#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#希望#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#”#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#熱力學#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#”#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#也能多幫忙#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#----#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: 新細明體"#ed_cl#因要報考熱流組#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; COLOR: blue; FONT-FAMILY: Arial"#ed_cl#Orz…………)#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 9pt; FONT-FAMILY: Arial"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl#