可分離?
怎麼我好像都分不離阿...
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由 hycheah2000 於 星期五 十月 27, 2006 12:36 am
[數學]工程數學 變數可分離 O.D.E
由 carnivorous 於 星期五 七月 07, 2006 1:28 am
#ed_op#DIV#ed_cl#變數可分離 O.D.E#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#1. xy'-y = y/lny-lnx , y(2)=2#ed_op#BR#ed_cl#Ans: y=x*exp[(2lnx-2ln2)^1/2]#ed_op#BR#ed_cl##ed_op#BR#ed_cl#2. dy/dx = (3xsin2y-2y)/(x-2x^2*cos2y)#ed_op#BR#ed_cl#ANS: x^2*y-x^3*sin2y=c#ed_op#BR#ed_cl##ed_op#BR#ed_cl#3. dy/dx =e^x*siny/y-2e^x*cosy ,y(0)=3π/2#ed_op#BR#ed_cl#ANS: -ycosy+siny-e^x*sin^2(y)= -2#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#請高手能詳析告知 這3題 一些解題目方向嗎??#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#好謝謝#ed_op#/DIV#ed_cl#