Question: hello guys. can you please help me solve the below questions? please show me ALL steps in order to learn how to do similar problems

hello guys. can you please help me solve the below questions? please show me ALL steps in order to learn how to do similar problems in the future

hello guys. can you please help me solve the
Use the Laplace transform to solve the initial value problems: 1. y" - 5y' + 6y = 10et cost, y (0) = 2, y' (0) = 1 2. y" + 2y' + 2y =2t, y (0) = 2, y' (0) = -7

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