Find the solution to the two-point boundary value problem u'' + 4u' + exu = sin(8x)
with u(-1) = u(1) = 0.
The Attempt at a Solution
I haven't taken an ODE course in years but I need to verify that my numerical solution to the ODE is accurate to the actual solution. The only way to do that is to find the solution to the ODE analytically, which I'm having trouble with. My only guess is to use Variation of Parameters but I can't remember how to use it at all.