Hello gambler84Since you talk about the right-hand-side, I assume you know how to solve the Complementary Function to get

Next, you need to find the Particular Integral, by saying.

Let

Then

Comparing coefficients gives

So the solution to the PI is

The general solution to your equation is the sum of the solutions to the PI and the CF:

Plug in your initial conditions and you're done.

Grandad