Question: Consider the following initial value problem:y''64y={3t,0t <90,t9y(0)=0y'(0)=0Using Y for the Laplace transform of y(t), i.e.,Y=L{y(t)}, find the equation you get by taking the Laplace transform

Consider the following initial value problem:y''64y={3t,0t<90,t9y(0)=0y'(0)=0Using Y for the Laplace transform of y(t), i.e.,Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve forY(s)=3s2(s264)-3e-2s[1s2(s264)2s(s264)]

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