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Consider the boundary value problem: x²y'"(x) + xy'(x) – (x² + 1.44)y(æ) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4tn degree polynomial as the trial function and use the collocation points a = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. correct answer| < 0.00005). y(3.58) Skipped

Consider the boundary value problem: x²y'"(x) + xy'(x) – (x² + 1.44)y(æ) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4tn degree polynomial as the trial function and use the collocation points a = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. correct answer| < 0.00005). y(3.58) Skipped

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: x²y'"(x) + xy'(x) – (x² + 1.44)y(æ) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4tn degree polynomial as the trial function and use the collocation points a = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. correct answer| < 0.00005). y(3.58) Skipped
Transcribed Image Text:Consider the boundary value problem: x²y'"(x) + xy'(x) – (x² + 1.44)y(æ) = 0 where y(0) = 0 and y(8.58) = 4.91 Use the collocation method to approximate the the value of the solution when x = 3.58. In other words, to approximate the value of y(3.58). Use a 4tn degree polynomial as the trial function and use the collocation points a = 1.02, x = 2.49, and x = 3.59. Your answer must be accurate to 4 decimal digits (i.e., your answer Note: this is different to rounding to 4 decimal places You should maintain at least eight decimal digits of precision throughout all calculations. correct answer| < 0.00005). y(3.58) Skipped
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