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Exercises 4.2 13. x²y" - xy + 2y = 0; y₁ = x sin(lnx] Answer: y₂ = x cos(in x)

Exercises 4.2 13. x²y" - xy + 2y = 0; y₁ = x sin(lnx] Answer: y₂ = x cos(in x)

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 reduction of order or formula (5), as instructed, to find a second solution y₂(x). Anyone can reply to show the solution to the problem. Take note of the following. • Use the text editor for the solution. This time, screenshots of the handwritten solution are not allowed. • Provide screenshots for the MATLAB solution. • Once solved, others are REQUIRED to participate. • Message our Microsoft Teams group chat if you have clarifications or questions about this topic. . Exercises 4.2 13. x²y" - xy + 2y = 0; y₁ = x sin(lnx) Answer: y₂ = x cos(in x) 15. (1-2x-x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 1 Answer: y₂ = x²+x+2
Transcribed Image Text:Use reduction of order or formula (5), as instructed, to find a second solution y₂(x). Anyone can reply to show the solution to the problem. Take note of the following. • Use the text editor for the solution. This time, screenshots of the handwritten solution are not allowed. • Provide screenshots for the MATLAB solution. • Once solved, others are REQUIRED to participate. • Message our Microsoft Teams group chat if you have clarifications or questions about this topic. . Exercises 4.2 13. x²y" - xy + 2y = 0; y₁ = x sin(lnx) Answer: y₂ = x cos(in x) 15. (1-2x-x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 1 Answer: y₂ = x²+x+2
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