# Math Help - General sol. of this ODE.

1. ## General sol. of this ODE.

I think this is in the right section. I am asked to find the compelte general solution for;

y''+4y=x+e^(2x)

I am entirely sure where to start, if anyone could point me in the right direction that would be great!

2. Originally Posted by eg109012
I think this is in the right section. I am asked to find the compelte general solution for;

y''+4y=x+e^(2x)

I am entirely sure where to start, if anyone could point me in the right direction that would be great!
Solve the complement, homogeneous, solution first.

3. And then try a "particular solution" of the form $y= Ax+ B+ Ce^{2x}$