Use the Laplace transform to solve the given initial-value problem. у" + бу' + 13у %3D 6(t — л) + б(t — 7л), у(0) %3D 1, у'(0) %3D о )•(,3(x-r), "sin 2(t– a) x )· 2(t - a) + ( že³+ sin(3t) × )· 2(t -...

Extracted text: Use the Laplace transform to solve the given initial-value problem. у" + бу' + 13у %3D 6(t — л) + б(t — 7л), у(0) %3D 1, у'(0) %3D о )•(,3(x-r), "sin 2(t– a) x )· 2(t - a) + ( že³+ sin(3t) × )· 2(t - 3 -3 -3 e + cos(2t) × ) + ( y(t) = - IT