[理工] [工數]- ode 幫忙檢查一下吧@@
y" -4y = 4e^-2x -4x +1 y(0)=0 y'(0)=0
(D^2-4)y = 4e^-2x -4x +1
y = c1e^-2x +c2 e^2x
h
1 1 1 -1
y = e^-2x ------ 4 -(- --- - ---D^2 )4x + (---) 1
p D(D-4) 4 16 4
1 1
= e^-2x --- (-1/4)*4 + x - ---
D 4
= -xe^-2x + x - 1/4
c1 +c2 = -1/4
-2c1 + 2c2 -1 + 1 =0
c1 = -1/8
c2 = -1/8
已修正 這樣對嗎?
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