tihs is going to sound like a stupid question, but how do i do it when the right side is like this?
x''+4x=1+t+sin(t) with initial conditions x(0)=0 and x'(0)=0
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