Apply Runge-Kutta of 4th Order to approximate the solution on the interval [1,2] of the given differential equation using step size h = 0.1. Tabulate your answer (up to 4 decimal places) as shown below. dy = x-2 (sin(2x) – 2xy); y(1) = 2 dx Yn k, k2 k3 ka Ду

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Adv. Math : Numerical sol'n in DE

Apply Runge-Kutta of 4th Order to approximate the solution on the
interval [1,2] of the given differential equation using step size h = 0.1.
Tabulate your answer (up to 4 decimal places) as shown below.
dy
= x-2 (sin(2x) – 2xy); y(1) = 2
dx
Yn
k,
k2
k3
k4
Ду
1.0000
2.000
2.0000
Transcribed Image Text:Apply Runge-Kutta of 4th Order to approximate the solution on the interval [1,2] of the given differential equation using step size h = 0.1. Tabulate your answer (up to 4 decimal places) as shown below. dy = x-2 (sin(2x) – 2xy); y(1) = 2 dx Yn k, k2 k3 k4 Ду 1.0000 2.000 2.0000
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