Given an ordinary differential equation, y"+y = -x; at y(0) = 0 and y'(0) = 1.Estimate the value of y(1) given using:a. Euler's Method where h = 0.1b. RK2 Method where h = 0.2C. RK4 Method where h = 0.25

Note: We are entitled to solve a question with only one method only. As the specified method is not…

Answered: Given an ordinary differential…

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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Given an ordinary differential equation, y" + ₁y: = -x; at y(0) = 0 and y'(0) = 1. 10- Estimate the value of y(1) given using: a. Euler's Method where h = 0.1 b. RK2 Method where h = 0.2 C. RK4 Method where h = 0.25