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? 101. y ' = 2 x , y (0) = 0, Exact solution is y = 2 x − 1 In(2)
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? 101. y ' = 2 x , y (0) = 0, Exact solution is y = 2 x − 1 In(2)
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?
101. y' = 2x, y(0) = 0, Exact solution is
y
=
2
x
−
1
In(2)
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