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4. You are given the third order initial value problem y" + 3y" + 3y' + y = -4, 0

4. You are given the third order initial value problem y" + 3y" + 3y' + y = -4, 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. You are given the third order initial value problem y" + 3y" + 3y' + y = -4, 0<t< 2, y(0) = 1, y'(0) = 1, y"(0) = -1. First rewrite this problem as a system of first order equations with initial conditions and then approximate its solution by using a fourth order Runge-Kutta method with h = 0.1. (You may apply the Runga-Kutta method to either the higher order problem or the first order system.) Finally, print out a good table with column headings of your results.
Transcribed Image Text:4. You are given the third order initial value problem y" + 3y" + 3y' + y = -4, 0<t< 2, y(0) = 1, y'(0) = 1, y"(0) = -1. First rewrite this problem as a system of first order equations with initial conditions and then approximate its solution by using a fourth order Runge-Kutta method with h = 0.1. (You may apply the Runga-Kutta method to either the higher order problem or the first order system.) Finally, print out a good table with column headings of your results.
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y'''+3y''+3y'+y=-4, 0≤t≤2, y0=1, y'0=1, y''0=-1

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