1. The boundary-value problem y" = 4(y – x), 0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1.
The boundary-value problem
y" = 4(y- x), 0sx<1, y(0) = 0, y(1) = 2,
has the solution y(x) = e (e- 1)-(e2 -e-2")+x. Use the Linear Shooting method to approximate
the solution, and compare the results to the actual solution.
With h = ;
b. With h = .
a.
Transcribed Image Text:1. The boundary-value problem y" = 4(y- x), 0sx<1, y(0) = 0, y(1) = 2, has the solution y(x) = e (e- 1)-(e2 -e-2")+x. Use the Linear Shooting method to approximate the solution, and compare the results to the actual solution. With h = ; b. With h = . a.
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