Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost -...

Please solve & show steps...

Extracted text: Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2 O y(t) = y(t) = - uneA-1) sint + 5e'cost + 7e'sint O y(t) = Unelx-1), 'cost + 5esint + 7ecost - Uzela-1), = - uzeln-t), O y(t) = sint + 5ecost + 2e'sint 'sint + 5e¬cost + 7e'sint sint + 5cost + 7sint