Question: Solve the initial value problem below using the method of Laplace transforms.y double prime plus 9 y equals 36 t squared minus 27 t plus

Solve the initial value problem below using the method of Laplace transforms.y double prime plus 9 y equals 36 t squared minus 27 t plus 62y+9y=36t227t+62,y left parenthesis 0 right parenthesis equals 0y(0)=0,y prime left parenthesis 0 right parenthesis equals 9y(0)=9

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