1. Solve the initial value problem below using the method ofLaplace transforms.
56w???4w?+4w=16t+56?, w(?3)=2?, w'(-3)=2
2. Solve for? Y(s), the Laplace transform of the solution? y(t)to the initial value problem below.
ty???6y?+9y=cos5t?sin5t?, y(0)=4?, y'(0)=4
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