Question: Consider the initial value problem for function y given by,y''-6y'+13y=0,y(0)=-3,y'(0)=-1Part 1: Finding Y(s)(a) Find the Laplace Transform of the solution, Y(s)=[y(t)].Y(s)=Note: We are asking for

Consider the initial value problem for function y given by,y''-6y'+13y=0,y(0)=-3,y'(0)=-1Part 1: Finding Y(s)(a) Find the Laplace Transform of the solution, Y(s)=[y(t)].Y(s)=Note: We are asking for Y(s)=[y(t)], not for y(t).Part 2: Rewriting Y(s)Part 3: Finding y(t)

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