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Numerical Methods for Differential Equations

In this problem we will use Euler's method to find an approximation for e. Consider the differential equation f' = f with initial data f(0) = 1. We know the solution is f(t) = e', therefore f(1) = e. Using as step size h = 0.5, and fo = 1, use Euler's method to obtain f20. Your answer is an approximation to f(t10) = f(1).