The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,-SP(x) dxx²(x)as instructed, to find a second solution y₂(x).x²y" - 5xy' +9y = 0; Y₁ = x²Y₂ =Y₂ = y₁(x)fedx(5)

Here we have to find second solution using given y1 (x).

Answered: The indicated function y₁(x) is a…

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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The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx x²(x)\ Y2 Y₂ = Y₁(x) [² || dx as instructed, to find a second solution y₂(x). x²y" - 5xy' + 9y = 0; y₁ = x³ (5)