[理工] [工數]-高階ODE
(a)(5%)Define a linear operator L3 = D^3 - 6D^2 + 12D - 8.
Please determine the complementary function yc(x), a particular
solution yp(x) and the general solution for L3(y) = 4e^(2x)
(b)(5%)In the yc(x), if the e^2x term is removed, please find the
second-order linear differential equation L2(y) = 0 whose
complementary function is the linear combination of the left terms
and coefficient of D^2 is 1.
A小題沒有問題 但是B小題感覺怪怪的 題目的意思是找出一個解為
xe^2x x^2e^2x的2階ODE嗎@@ 我用y` y``時再湊不出答案 希望高手幫忙
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