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Homework ProblemsUse the modified Fuler method to find the approximate solution of following initial- value problem ~3v + 6 + 2 0 <t<1 v(o) = 1. Write down th...

Question

Homework ProblemsUse the modified Fuler method to find the approximate solution of following initial- value problem ~3v + 6 + 2 0 <t<1 v(o) = 1. Write down the scheme and find the approximate values for h = 0.25 (N=4). Don't use the code_

Homework Problems Use the modified Fuler method to find the approximate solution of following initial- value problem ~3v + 6 + 2 0 <t<1 v(o) = 1. Write down the scheme and find the approximate values for h = 0.25 (N=4). Don't use the code_



Answers

Use the fourth-order Runge-Kutta subroutine with h = 0.25 to approximate the solution to the initial value problem
$$ y^{\prime}=2 y-6, \quad y(0)=1 $$
at x = 1. (Thus, input N = 4.) Compare this approximation to the actual solution $ y=3-2 e^{2 x} $ evaluated at x = 1.


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