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Use Euler's method to approximate the solution of the IVP y'=y+1 for 0st<1 _with y(0)=1 and step size h=0.1 0

Use Euler's method to approximate the solution of the IVP y'=y+1 for 0st<1 _with y(0)=1 and step size h=0.1 0

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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4. Use Euler's method to approximate the solution of the IVP y'=Vy+1 for Ost<1 _with y(0)=1 and step size h=0.1 0<t<1
Transcribed Image Text:4. Use Euler's method to approximate the solution of the IVP y'=Vy+1 for Ost<1 _with y(0)=1 and step size h=0.1 0<t<1
Expert Solution
Step 1

Given, y′=y3+1, y(0) = 1, with step length 0.1 using Euler method. Assume xn=0.5

y′=y3+1, y(0)=1, h=0.1,  We will find y(0.5).

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