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The answer to each question on this page is true or false. Please circle T for...

The answer to each question on this page is true or false. Please circle T for true or F for false and explain your answer using 1-3 complete sentences. Answers without justification will receive NO credit.

5. T F Suppose you know that the solution y(t) to IVP (dy/ dt = f(y) ; y(0) = 1 has the property that limt→∞ y(t) = 4. Is it true or false that the solution y(t) to the IVP (dy/dt = f(y); y(5) = 1 must also have the property that limt→∞ y(t) = 4? Hint: What type of differential equations take this form?

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