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modified Eules methi

modified Eules methi

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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steas Guen that y =8,find ylons tos u =x?tyR wing the modified Eules retled show that X=0, is an Oadinoxy point (x*+) y" + Xy -y=0 is 8egukos singulas point Os dinoxy point Cx a+) y" + Xyl -y=0 is segubos singuloe point
Transcribed Image Text:steas Guen that y =8,find ylons tos u =x?tyR wing the modified Eules retled show that X=0, is an Oadinoxy point (x*+) y" + Xy -y=0 is 8egukos singulas point Os dinoxy point Cx a+) y" + Xyl -y=0 is segubos singuloe point
Expert Solution
Step 1

given that y1=0

find the value of y0.5 for y'=x2+y2 using modified euler method.

let

fx,y=x2+y2

according to modified euler method

ym+1=ym+hfxm+12h , ym+12hfxm,ym

using initial condition, find the value of function

fx0,y0=f1,2            =1+4            =5

 

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