Question: Solve the initial value problem below using the method of Laplace transforms.y double prime minus 36 y equals 144 t minus 36 e Superscript negative

Solve the initial value problem below using the method of Laplace transforms.y double prime minus 36 y equals 144 t minus 36 e Superscript negative 6 ty36y=144t36e6t,y left parenthesis 0 right parenthesis equals 0y(0)=0,y prime left parenthesis 0 right parenthesis equals 47

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