II.Approximate the solution ofdyx3 + x2 – 2xy(x + 1)%3Ddxat x = 2 for the initial value problem y(1.1)=0.5 using(c) 4th order Runge-Kutta method.Use a step size, h% D0.1. Show the sample calculations for the first and last iterations only.Round up your answers to six decimal places.

Given differential equation isdydx=y(x+1)x3+x2-2xy(1.1)=0.5h=0.1The solution of the differential…

Answered: Approximate the solution of dy y(x + 1)…

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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Approximate the solution of dy y(x + 1) dx x3 + x2 - 2x at x = 2 for the initial value problem y(1.1)=0.5 using (c) 4th order Runge-Kutta method. Use a step size, h = 0.1. Show the sample calculations for the first and last iterations only. Round up your answers to six decimal places.