In problem use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and

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In problem use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and then use h = 0.1. Use a numerical solver and h = 0.1 to graph the solution in a neighborhood of t = 0.

x' = 6x + y + 6t

y' = 4x + 3y - 10t + 4

x(0) = 0.5, y(0) = 0.2

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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Question Posted: Nov 02, 2020 04:59 AM

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In problem use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use h = 0.2 and

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Solution Let fx y t x 6x y 6t gx y t y 4x 3y 10t 4 Given x0 05 ie x 0 05 t 0 0 and y0 02 ie y 0 02 t ...View the full answer

A First Course in Differential Equations with Modeling Applications

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