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4. Obtain an approximate solution of the integral equation y(x) = x² + √(x+5) y(5)d5 using the method 0 of collocation at the points x= 0, 1/2, and 1. Assume a three term polynomial approximation of the form y(x)=c₁ +c₂x+c₁x². (Note: Use fractions instead of decimals).

4. Obtain an approximate solution of the integral equation y(x) = x² + √(x+5) y(5)d5 using the method 0 of collocation at the points x= 0, 1/2, and 1. Assume a three term polynomial approximation of the form y(x)=c₁ +c₂x+c₁x². (Note: Use fractions instead of decimals).

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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4. Obtain an approximate solution of the integral equation y(x) = x² + √(x+5) y(5)d5 using the method 0 of collocation at the points x= 0, 1/2, and 1. Assume a three term polynomial approximation of the form y(x)=c₁ +c₂x+c₁x². (Note: Use fractions instead of decimals).
Transcribed Image Text:4. Obtain an approximate solution of the integral equation y(x) = x² + √(x+5) y(5)d5 using the method 0 of collocation at the points x= 0, 1/2, and 1. Assume a three term polynomial approximation of the form y(x)=c₁ +c₂x+c₁x². (Note: Use fractions instead of decimals).
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