(i) dy The ordinary differential equation is given by xe +y with initial dx condition y(1)-1. Apply Milne Fourth order Method with step length solution is h=0.05 to estimate y(1.5). The actual y = 3=e=(-1+3e** + 4e *2* -2x). Keep all calculations to 5 decimal places, find the error of each step and give your answer correct to 3D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
(i)
dy
= xe +y with initial
dx
The ordinary differential equation is given by
condition y(1)=1. Apply Milne Fourth order Method with step length
solution
is
h=0.05
to
estimate
y(1.5).
The
actual
1
y
-1+3e+2*+4e 2* - 2x). Keep all calculations to 5 decimal
places, find the error of each step and give your answer correct to 3D.
Transcribed Image Text:(i) dy = xe +y with initial dx The ordinary differential equation is given by condition y(1)=1. Apply Milne Fourth order Method with step length solution is h=0.05 to estimate y(1.5). The actual 1 y -1+3e+2*+4e 2* - 2x). Keep all calculations to 5 decimal places, find the error of each step and give your answer correct to 3D.
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