Solve higher order linear differential equation by using Annihilator method and Laplace transform...y'''+2y''-y'-2y=sin(3t) with I.C. y(0)=0 y'(0)=0 y''(0)=1

Question

anonymous · Answer

What is the Annihilator method?

anonymous · Answer

Oh wait, must be a higher level diff eq course than what I've taken so far.  I never solved third order ODE's.

anonymous · Answer

a term that will annihilate the right hand side it will be [D^2 +9] but im stuck unable to find coefficients i have my y=C1e^x+C2e^-x+C3e^-2x+(3/130)cos3x-(1/65)sin3x

anonymous · Answer

Its all good thanks for trying mathgirl :)