Question

Non-Homogeneous 2nd Order Linear Diff Eqns Proof: Prove the theorem (attached). Can someone point in the right direction on how to get started?

Answer 1

Should I be looking along the lines to prove this by showing that the associated homogeneous equation = 0 and that f(x)- g(x) = 0? Still, I don't know where to begin with putting this into proof language rather than just "plain english". What do you guys think?

Answer 2

i dont think this is concerned all that much with the =0 part of it; it just wants you to determine if a linear combination of the particular solutions of =f and =g; is a particular solution to f+g

Answer 3

http://www.math.okstate.edu/~binegar/2233-S99/2233-l14.pdf

this might have a proof that you can guide you