Consider the initial value problemy 32 y = 3t + 2et, y(0)

Chapter 2, Problem 31

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Consider the initial value problemy 32 y = 3t + 2et, y(0) = y0.Find the value of y0 that separates solutions that grow positively as t from thosethat grow negatively. How does the solution that corresponds to this critical value of y0behave as t ?

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