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Please provide detailed solution with full work and good handwritting. Thanks a lot. 6.) (14 points) Use Laplace transforms in order to solve the initial

Please provide detailed solution with full work and good handwritting. Thanks a lot.

6.) (14 points) Use Laplace transforms in order to solve the initial value problem y" + 5y' + 6y = 2e\" y(0) = 1, y'([)) = 3

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