b) Solve the boundary-value problem у" + ху — 2у — 5х 3D х? With the following boundary conditions 2y (0) + y' (0) = 1 and 2y (2) + 2y' (2) = 2 at x = 0(0.5)2 by using finite-difference method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve only (b) parts 

Question 2 (Boundary Value Problem – with differentiation)
a) Solve the boundary-value problem
4.5
у" + ху —
x3 .
With the following boundary conditions y' (1) = 4 and y' (2) – y (2) = 1.2 at
x = 1(0.2)2 by using finite-difference method.
b) Solve the boundary-value problem
у" + ху — 2у — 5х — х2
With the following boundary conditions 2y (0) + y' (0) = 1 and 2y (2) + 2y' (2) = 2 at
x = 0(0.5)2 by using finite-difference method.
Transcribed Image Text:Question 2 (Boundary Value Problem – with differentiation) a) Solve the boundary-value problem 4.5 у" + ху — x3 . With the following boundary conditions y' (1) = 4 and y' (2) – y (2) = 1.2 at x = 1(0.2)2 by using finite-difference method. b) Solve the boundary-value problem у" + ху — 2у — 5х — х2 With the following boundary conditions 2y (0) + y' (0) = 1 and 2y (2) + 2y' (2) = 2 at x = 0(0.5)2 by using finite-difference method.
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