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y" + y' = 2x^2, y(0) = 1, y(0.75) = 2.5 Derive a recurrence relation for the above differential equation using three points central difference formulae for first and second derivativ with h = .

y" + y' = 2x^2, y(0) = 1, y(0.75) = 2.5 Derive a recurrence relation for the above differential equation using three points central difference formulae for first and second derivativ with h = .

Advanced Engineering Mathematics
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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Consider the boundary value problem y" + y' = b. — 2x^2, У(0) %3D1, У (0.75) — 2.5 i. Derive a recurrence relation for the above differential equation using three points central difference formulae for first and second derivatives with h =. 1 %3D 4 ii Using the above recurrence relation solve the given boundary value problem.
Transcribed Image Text:Consider the boundary value problem y" + y' = b. — 2x^2, У(0) %3D1, У (0.75) — 2.5 i. Derive a recurrence relation for the above differential equation using three points central difference formulae for first and second derivatives with h =. 1 %3D 4 ii Using the above recurrence relation solve the given boundary value problem.
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