Question: Use Laplace transforms to solve the initial value problems(a)(5 points)y''+4y'-5y=6et,y(0)=1,y'(0)=0.(b)(5 points)y''-6y'+9y=3u2(t),y(0)=0=y'(0).

Use Laplace transforms to solve the initial value problems(a)(5 points)y''+4y'-5y=6et,y(0)=1,y'(0)=0.(b)(5 points)y''-6y'+9y=3u2(t),y(0)=0=y'(0).

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