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10. [4 marks] Consider the initial value problem 3/ = 160:1:, y(0) = 1. (3) Explain why this initial value problem has a unique solution.

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10. [4 marks] Consider the initial value problem 3/ = 160:1:, y(0) = 1. (3) Explain why this initial value problem has a unique solution. (b) Verify that y(r1:) = (4051:2 + 1)2 solves this initial value problem. (c) Using the improved Euler method with a step-size h = 1, estimate 19(2)

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