Consider the initial value problem y = t 2 + y2 , y(0) = 1. Use Eulers method with h =
Chapter 2, Problem 16(choose chapter or problem)
Consider the initial value problem y = t 2 + y2 , y(0) = 1. Use Eulers method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of this problem for 0 t 1. What is your best estimate of the value of the solution at t = 0.8? At t = 1? Are your results consistent with the direction field in 9?
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