[理工] [工數]-常係數ode

[winer8 (快來明星3 缺1 )]

let y1(x) and y2(x) be two solutions of
y''(x)+p(x)y'(x)+q(x)y(x)=0
y(0)=1
then
(1)y1(x)+y2(x)is also a solution
(2)y1(x)*y2(x) is a solution
(3)y1(x)/y2(x) is also a solution
(4)none

ANS:4


我想知道的是變係數ode解相乘不是解是因為微分次序不同  答案不同
那相加不行是為什麼?

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推 yimao:因為要考慮IC..y1(0)+y2(0)=2