(1) Using the second order Runge-Kutta method (Modified Euler's method), plot the solution of the problem y = 10(y – y²), 0

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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PART 2

(1) Using the second order Runge-Kutta method (Modified Euler's method), plot the solution
of the problem
y' = 10(y – y?), 0<t< 5, y(0) = 0.5.
with h = 0.01.
1
(2) Based on the solution plot and the interval of absolute stability obtained in Problem 1
(1), what is stability restriction on step size h for this problem by using Modified Euler's
method?
Transcribed Image Text:(1) Using the second order Runge-Kutta method (Modified Euler's method), plot the solution of the problem y' = 10(y – y?), 0<t< 5, y(0) = 0.5. with h = 0.01. 1 (2) Based on the solution plot and the interval of absolute stability obtained in Problem 1 (1), what is stability restriction on step size h for this problem by using Modified Euler's method?
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