Solved: In 7–12 use the Runge-Kutta method to approximate

Chapter 9, Problem 9E

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In Problems 7–12 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.

\(x^{\prime}=-y+t\)

\(y^{\prime}=x-t\)

x(0)= - 3, y(0) = 5

Text Transcription:

x^prime=-y+t

y^prime=x-t

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