In Problems 14, use Euler's method to solve the first-order system subject to the specified initial condition.

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In Problems 1–4, use Euler's method to solve the first-order system subject to the specified initial condition. Use the given step size Δt and calculate the first three approximations (x1, y1), (x2, y2), and (x3, y3). Then repeat your calculations for Δt/2. Compare your approximations with the values of the given analytical solution.

dx dt dy dt x (0) = 0, y (0) = 2. At 4 x (t)=-e-2 +3e1 - 2e', y(t) = e-1 + e1 = x + 3y = x -y +2e

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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