Take the Laplace transform of the following initial value problem and solve for Y(s) = C{y(t)}:...

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Take the Laplace transform of the following initial value problem and solve for Y(s) = C{y(t)}: y"+12y + 15y = T(t) y(0) = 0, y/(0)=0 where T' is a periodic function defined by 0≤t<1/2 T(t) = {1-1, 1/251<1 and T(t+1)= T(t) for all t≥ 0. Y(s) = Graph of T(t) (a triangular wave function): m Take the Laplace transform of the following initial value problem and solve for Y(s) = C{y(t)}: y"+12y + 15y = T(t) y(0) = 0, y/(0)=0 where T' is a periodic function defined by 0≤t<1/2 T(t) = {1-1, 1/251<1 and T(t+1)= T(t) for all t≥ 0. Y(s) = Graph of T(t) (a triangular wave function): m

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y 12y15y t tif 0ts f ifts y 12y15y 10 2 10 t111 y 12y15y u t 0 2 sys y 0 0 12sys12 0 15ys y... View the full answer