Question: Solve the initial value problem below using the method of Laplace transforms.y double prime plus 25 y equals 75 t squared minus 50 t plus

Solve the initial value problem below using the method of Laplace transforms.y double prime plus 25 y equals 75 t squared minus 50 t plus 156y+25y=75t250t+156,y left parenthesis 0 right parenthesis equals 0y(0)=0,y prime left parenthesis 0 right parenthesis equals 8y(0)=8

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