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Consider the following differential equation ( y' = y^2, y(0) = 1, with domain 0 < t < 1. Solve it with: (1) Euler's method,
Consider the following differential equation ( y' = y^2, y(0) = 1, with domain 0 < t < 1. Solve it with: (1) Euler's method, with step size h = 0.25. Find also the upper bounds for the local and global truncation errors. (2) Midpoint method, with step size h = 0.2. (3) Based on the results you got, what should be the behavior of y at t = 1
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