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The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx y²(x) of Y2 = Y₂ = y₁(x) -dx (5) as instructed, to find a second solution y₂(x). x²y" - xy' + 10y = 0; y₁ = x cos(3 In(x))

The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx y²(x) of Y2 = Y₂ = y₁(x) -dx (5) as instructed, to find a second solution y₂(x). x²y" - xy' + 10y = 0; y₁ = x cos(3 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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Mat 285 ordinary differental equation 

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) dx x²(x) e Y/₂ = Y/₁(x) [² y Y₂ = dx (5) as instructed, to find a second solution y₂(x). x²y" - xy' + 10y = 0; y₁ = x cos(3 In(x))
Transcribed Image Text: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) dx x²(x) e Y/₂ = Y/₁(x) [² y Y₂ = dx (5) as instructed, to find a second solution y₂(x). x²y" - xy' + 10y = 0; y₁ = x cos(3 In(x))
Expert Solution
Step 1: Given.

Given: A differential equation x2y''-xy'+10y=0 and one solution y1=xcos3 lnx.

To find: Another solution y2.

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