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(1) Use Laplace Transforms to solve Differential Equation

y'' - 8y' + 20 y = t (e^t) , given that y(0) = 0 , y'(0) = 0

(2) Use Laplace Transforms to solve Differential Equation

y''' + 2y'' - y' - 2y = Sin 3t , given that y(0)=0 , y'(0)=0 ,y''(0)=0, y'''(0)=1

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