A hand-held calculator will suffice for Problems 1 through 8. In each problem an initial value problem

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A hand-held calculator will suffice for Problems 1 through 8. In each problem an initial value problem and its exact solution are given. Approximate the values of x (0.2) and y(0.2) in three ways:

(a) By the Euler method with two steps of size h = 0.1;

(b) by the improved Euler method with a single step of size h = 0.2; and

(c) By the Runge-Kutta method with a single step of size h = 0.2.

Compare the approximate values with the actual values x (0.2) and y(0.2).

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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