Consider the initial value problem y = y2 t 2 , y(0) = , where is a given number.(a)
Chapter 2, Problem 19(choose chapter or problem)
Consider the initial value problem y = y2 t 2 , 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 aninterval [a, b], where b a = 0.01
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