(1 point) Take the Laplace transform of the following initial value problem and solve for Y(s) = L{y(()}: y' + 12y' + 16y = T(1) y(0) = 0, y'...

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(1 point) Take the Laplace transform of the following initial value problem andsolve for Y(s) = L{y(()}:y"' + 12y' + 16y = T(1)y(0) = 0, y' (0) = 0where T is a periodic function defined byTO =0<t < 1/2(1 - t, 1/2 <t<1 'and T(t + 1) = T(() for all : 2 0.Y(s) =Graph of T(t) (a triangular wave function):