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QUESTION
Use the Laplace transform to solve the initial value problem.
Use the Laplace transform to solve the initial value problem.y''+ 6y'+ 9y = (t^2)*e^3t ; y(0)=0; y'(0)=0
Q> Use the Laplace transform to solve the initialvalue problem.y''+ 6y'+ 9y = (t^2)*e^3t ; y(0)=0; y'(0)=0Let, L{y(t)} = f(s)Solution:y''+ 6y'+ 9y =t² ….(1) taking Laplace transform on...