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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,