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Math / Differential Equations and Linear Algebra 3 / Chapter 2.6 / Problem 6P

Differential Equations and Linear Algebra | 3rd Edition | ISBN: 9780136054252 | Authors: C. Henry Edwards, David E. Penney

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QUESTION:

Problem 6P

A hand-held calculator will suffice for Problem , where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.

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QUESTION:

Problem 6P

A hand-held calculator will suffice for Problem , where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.

ANSWER:

Solution:-

Step 1 of 4

Given that

We have to make a table for the approximation and actual solution .

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