Q3/ Solve the following differential equation dy = = (2-x)(2-y) dx By 1- Taylor expansion series (three terms), find the value of y(0.4) if y(0) = 1? 2- Find the exact value of y(0.4)? 3- Calculate absolute and relative error?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q3/ Solve the following differential equation
dy
= (2-x)(2-y)
dx
By
1- Taylor expansion series (three terms), find the value of y(0.4) if
y(0) = 1?
2- Find the exact value of y(0.4)?
3- Calculate absolute and relative error?
Transcribed Image Text:Q3/ Solve the following differential equation dy = (2-x)(2-y) dx By 1- Taylor expansion series (three terms), find the value of y(0.4) if y(0) = 1? 2- Find the exact value of y(0.4)? 3- Calculate absolute and relative error?
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