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Integration by Substituton

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I am having problems understanding how to solve linear equations. For example,

dy/dt = -4y + 3e^-t

Can you solve this step-by-step so that maybe I can understand how to do it myself?

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An integral is found by substitution. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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