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Use the resulting second-order Runge-Kutta method with h = 0.1 to approximate y (0.5), where y (x) is the solution of the initial-value problem y' = (x +y – 1)², y(0) = 2.

Use the resulting second-order Runge-Kutta method with h = 0.1 to approximate y (0.5), where y (x) is the solution of the initial-value problem y' = (x +y – 1)², y(0) = 2.

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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Solve what is requested in the image, place it step by step to reach the result.

Note: Use the Runge-Kutta method
Note 2: Put all the steps to get to the result.

Suponga que w= % en las ecuacuaciones: 1 1 a = 2w2 W1 = 1- w2 B = 2w2 Use the resulting second-order Runge-Kutta method with h = 0.1 to approximate y (0.5), where y (x) is the solution of the initial-value problem y' = (x + y – 1)², y(0) = 2.
Transcribed Image Text:Suponga que w= % en las ecuacuaciones: 1 1 a = 2w2 W1 = 1- w2 B = 2w2 Use the resulting second-order Runge-Kutta method with h = 0.1 to approximate y (0.5), where y (x) is the solution of the initial-value problem y' = (x + y – 1)², y(0) = 2.
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