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Use the Laplace Transform to solve the following initial value problem: 11. y′′ −y′ −6y={0 for0<t<2;...

Use the Laplace Transform to solve the following initial value problem:
11. y′′ −y′ −6y={0 for0<t<2; e^t for t>2}, y(0)=3, y′(0)=4
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