Solution Found!
As in Exercises 3.6, for some problems you
Chapter 3, Problem 15E(choose chapter or problem)
Use the fourth-order Runge-Kutta subroutine with h = 0.1 to approximate the solution to
$$y^{\prime}=\cos (5 y)-x, \quad y(0)=0$$
at the points \(x=0,0.1,0.2, \ldots, 3.0\). Use your answers to make a rough sketch of the solution on [0,3].
Equation Transcription:
Text Transcription:
y prime = cos(5y) = x. y(0) = 0
x = 0, 0.1, 0.2, … , 3.0.
Questions & Answers
QUESTION:
Use the fourth-order Runge-Kutta subroutine with h = 0.1 to approximate the solution to
$$y^{\prime}=\cos (5 y)-x, \quad y(0)=0$$
at the points \(x=0,0.1,0.2, \ldots, 3.0\). Use your answers to make a rough sketch of the solution on [0,3].
Equation Transcription:
Text Transcription:
y prime = cos(5y) = x. y(0) = 0
x = 0, 0.1, 0.2, … , 3.0.
ANSWER:
SOLUTION
Runge - Kutta method
Step 1
Given
at the points x = 0, 0.1,0.2,0.3,0.4,...3.0
We have