Consider the initial value problemy = y2 t2, y(0) = ,where is a given number.(a) Draw a

Chapter 2, Problem 19

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Consider the initial value problemy = y2 t2, y(0) = ,where is a given number.(a) Draw a direction field for the differential equation. Observe that there is a criticalvalue of in the interval 0 1 that separates converging solutions from divergingones. Call this critical value 0.(b) Use Eulers method with h = 0.01 to estimate 0. Do this by restricting 0 to an interval[a, b], where b a = 0.01.

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