求一般解:
(1)
X’=2X-Y
Y’=X+2Y
(2)
X’= -2X
Y’= X -2Y
Z’= Y -2Z
(3)
X’= Y+Z
Y’= Z
Z’= 0
找出所有解:
(1)
X’- 4X - cost = 0
(2)
X’= X+Y+Z
Y’= -2Y+t
Z’= 2Z+sint
證明題:
Let T be invertible operator on Rn, n odd
Then x’=Tx has a nonperiodic solution