Consider the initial value problemy= t2 + y2, y(0) = 1.Use

Chapter 2, Problem 16

(choose chapter or problem)

Consider the initial value problemy= t2 + y2, y(0) = 1.Use Eulers method with h = 0.1, 0.05, 0.025, and 0.01 to explore the solution of thisproblem 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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