Approximate the solution of

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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Approximate the solution of
dy
dx x3 + x² – 2x
y(x + 1)
at x = 2 for the initial value problem y(1.1)=0.5 using (a) Euler method, (b) Improved Euler
method and (c) 4th order Runge-Kutta method. Compare the estimated values obtained using
the different methods with the exact value by computing the % difference. Use a step size, h =
0.1. Show the sample calculations for the first and last iterations only. Use the provided table
to present the summary of calculated values. Round up your answers to six decimal places.
*GHT N
comme
uth
руг
an
Transcribed Image Text:Approximate the solution of dy dx x3 + x² – 2x y(x + 1) at x = 2 for the initial value problem y(1.1)=0.5 using (a) Euler method, (b) Improved Euler method and (c) 4th order Runge-Kutta method. Compare the estimated values obtained using the different methods with the exact value by computing the % difference. Use a step size, h = 0.1. Show the sample calculations for the first and last iterations only. Use the provided table to present the summary of calculated values. Round up your answers to six decimal places. *GHT N comme uth руг an
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