Have complimentary, can't get the particular

[mistereko]

Homework Statement

d⁴y/dx⁴ - a⁴y = e^ax

I have found the complimentary to be

Y(x)_c = C1e^ax + C2e^-ax + C3Cos(ax) + C4Sin(ax)

I can't seem to get get the particular. I've tried letting Y(x) = Ae^ax

Homework Equations

The Attempt at a Solution

 

[mistereko]

That gives me Aa^4exp(ax) - Aa^4exp(ax) = exp(ax) :(

 

[ehild]

Try Y=Ctexp(ax).

ehild

edit: "t" is a typo: It should be Y= Cxexp(ax)

 

[HallsofIvy]

ehild means $xe^{ax}$, not $te^{ax}$.

 

[ehild]

ehild means $xe^{ax}$, not $te^{ax}$.

Thank you, I edited it.

ehild