Ok we are given the ODE
{y}^{\prime\prime}(t) + \omega^2{y(t)} = {r(t)}
r(t) = cos\omega{t}
\omega = 0.5,0.8,1.1,1.5,5.0,10.0
I know you can use variation of paramaters to solve for it so I start by finding the complementary solution.
{y}^{\prime\prime}(t) + \omega^2{y(t)} = 0...