Estimate the following solutions using Euler’s method with n = 5 steps over the interval t = [0, 1]. If you are able to solve the initial-value problem exactly, compare your solution with the exact solution. If you are unable to solve the initial-value problem, the exact solution will be provided for you to compare with Euler’s method. How accurate is Euler’s method? 99. [T] y ' = e ( x + y ) , + y (0) = −1. Exact solution is y = − In( e + 1 − e x )
Estimate the following solutions using Euler’s method with n = 5 steps over the interval t = [0, 1]. If you are able to solve the initial-value problem exactly, compare your solution with the exact solution. If you are unable to solve the initial-value problem, the exact solution will be provided for you to compare with Euler’s method. How accurate is Euler’s method? 99. [T] y ' = e ( x + y ) , + y (0) = −1. Exact solution is y = − In( e + 1 − e x )
Estimate the following solutions using Euler’s method with n = 5 steps over the interval t = [0, 1]. If you are able to solve the initial-value problem exactly, compare your solution with the exact solution. If you are unable to solve the initial-value problem, the exact solution will be provided for you to compare with Euler’s method. How accurate is Euler’s method?
99. [T] y' = e(x+y), + y(0) = −1. Exact solution is y = −In(e + 1 − ex)
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