Solve the IVPs by the Laplace transform. If necessary, use partial fraction expansion as in Example 4

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Solve the IVPs by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text. Show all details.

y" + 7y' + 12y = 21e3t, y(0) = 3.5, y' (0) = -10

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