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    Numerical Euler's Method for Initial Value Problem

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    Consider the initial value problem (IVP): y'(t) = y^2 y(0)=1

    Approximate y(1) using Euler's method and step sizes of 0.25. Perform these calculations by hand (using a calculator for arithmetic is ok). What is the true value of y(1)?

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    Solution Summary

    The solution shows how to apply the simple Euler's method to this IVP and compares it to the analytical solution.