Express the solution of the given initial value problem in terms of a convolution integral. y" + 8y' + 4ly = sinat, y(0) = 0, y (0) = 0 y(t) 25 -8r e cos(25t)sin(a(t – t)) dt y(t) -4r e sin(5t)sin(a(t...

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Extracted text: Express the solution of the given initial value problem in terms of a convolution integral. y" + 8y' + 4ly = sinat, y(0) = 0, y (0) = 0 y(t) 25 -8r e cos(25t)sin(a(t – t)) dt y(t) -4r e sin(5t)sin(a(t – t)) dt = - 1 -47 y(t) e 4* sin(25t)sin(a(t – t)) dr 25 y(t) 1 -8* sin(57)cos(a(t – t)) dr e y(t) -4r e cos(5t)cos(a(t – T)) dt