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Determine weights W₁, W₂, W3, and w4 that will produce a quadrature formula: 1 -1 f(x)dx=w₁f(-1) + w₂f (1) + w3f'(-1) + W4f'(1)

Determine weights W₁, W₂, W3, and w4 that will produce a quadrature formula: 1 -1 f(x)dx=w₁f(-1) + w₂f (1) + w3f'(-1) + W4f'(1)

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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2. Determine weights W₁, W₂, W3, and wê that will produce a quadrature formula: 1 fra f(x) dx = w₁f(−1) + w₂ƒ (1) + w3ƒ'(−1) + w₁ƒ'(1)
Transcribed Image Text:2. Determine weights W₁, W₂, W3, and wê that will produce a quadrature formula: 1 fra f(x) dx = w₁f(−1) + w₂ƒ (1) + w3ƒ'(−1) + w₁ƒ'(1)
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