Question

y'' + y = tan(t) +e^(3t) - 1

I've found the solution, but just want to make sure I'm understanding this right...
I can take the particular solutions of
y'' + y =tan(t)

y''+ y = e^(3t)

y'' + y = -1

and the solution to the homogeneous

y'' + y = 0

and sum them up to get a general solution?

Answer 1

I think so.

Answer 2

http://tutorial.math.lamar.edu/Classes/DE/UndeterminedCoefficients.aspx
Is a good reference for this sort of thing.

Answer 3

thanks GGG