A hand-held calculator will suffice for Problems 1 through 8. In each problem an initial value problem
Question:
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).
Transcribed Image Text:
x = 9x + 5y, x(0) = 1, y = -6x-2y, y(0) = 0; x(t) = -5e³t+ 6e4t, y(t) = 6e3t - 6e4t
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a b c X1 1...View the full answer
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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