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Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem x²y" - 2xy' + 2y = 0, y(1) = 8, y'(1) = 3, where x > 0. First use h = 0.2 and then use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(1.2) with approximated values. (Round your answers to four decimal places.) y(1.2) 8.0000 y(1.2) 8.0000 y(1.2) = 8.0000 X (h= 0.2) X (h= 0.1) X (exact value)

Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem x²y" - 2xy' + 2y = 0, y(1) = 8, y'(1) = 3, where x > 0. First use h = 0.2 and then use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(1.2) with approximated values. (Round your answers to four decimal places.) y(1.2) 8.0000 y(1.2) 8.0000 y(1.2) = 8.0000 X (h= 0.2) X (h= 0.1) X (exact value)

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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Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem x²y" - 2xy' + 2y = 0, y(1) = 8, y'(1) = 3, where x > 0. First use h = 0.2 and then use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(1.2) with approximated values. (Round your answers to four decimal places.) y(1.2) 8.0000 y(1.2) ≈ 8.0000 y(1.2) = 8.0000 |x (h = 0.2) X (h= 0.1) X (exact value)
Transcribed Image Text:Use the RK4 method to approximate y(1.2), where y(x) is the solution of the initial-value problem x²y" - 2xy' + 2y = 0, y(1) = 8, y'(1) = 3, where x > 0. First use h = 0.2 and then use h = 0.1. Find the exact solution of the problem, and compare the actual value of y(1.2) with approximated values. (Round your answers to four decimal places.) y(1.2) 8.0000 y(1.2) ≈ 8.0000 y(1.2) = 8.0000 |x (h = 0.2) X (h= 0.1) X (exact value)
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