II.Approximate the solution ofdyy(x + 1)dxх3 + x2 — 2хat x = 2 for the initial value problem y(1.1)=0.5 using (a) Euler 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 y'=yx+1x3+x2-2x, y1.1=0.5 Thus, x0=1.1, y0=0.5 We have to find y2 for h=0.1

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

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 y(x + 1) dy dx x3 + x2 – 2x %3! at x = 2 for the initial value problem y(1.1)=0.5 using (a) Euler 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.