# General sol. of this ODE.

• May 5th 2010, 05:28 PM
eg109012
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!
• May 5th 2010, 07:10 PM
dwsmith
Quote:

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.
• May 6th 2010, 03:03 AM
HallsofIvy
And then try a "particular solution" of the form $y= Ax+ B+ Ce^{2x}$