Answer Happy

This question is regarding Laplace Transform
Please ensure that the final answer after the workingout should be the same answer shown in thepicture! (otherwise your answer iswrong)
Solve: Using Laplace Transform! x (F) + w²² x (+) = A sin (12 t) for W Ansher should be for w: and for 12 = w: a(t) = 20 cos(wt) + لواد 1 for ALL w³_w_2² x(0) = Xo ico) - Vo ✓ = W sin (wt) + Vo A XI - ( To - A+) cos (w²) + (2²+4) 20 sin (cut) A