Thread: Nonhomogenous differencial equation

need help...

Originally Posted by harry

need help...

I would try a trial PI of the form:

y(x) = [x^3 e^x]/6 + Asin(x)+Bcos(x) + ax^2 + bx +c

and find the values of A, B, a, b, and c that give a PI.

RonL

y(x)=(Ax+B)e^x+(Csinx+Dcosx)+(Ex^2+Fx+G)

Originally Posted by ThePerfectHacker

y(x)=(Ax+B)e^x+(Csinx+Dcosx)+(Ex^2+Fx+G)

Erherm ...

[D^2 - 2D + 1](Ax+B)e^x = 0

RonL

Originally Posted by CaptainBlank

Erherm ...

[D^2 - 2D + 1](Ax+B)e^x = 0

RonL

Right.
It looked like
D^2-2D+2
To me.