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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 = Y,(x) (5) as instructed, to find a second solution y,(x). x²y" + 2xy' - 6y = 0; y, = x Y2

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 = Y,(x) (5) as instructed, to find a second solution y,(x). x²y" + 2xy' - 6y = 0; y, = x Y2

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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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 = Y,(x) (5) as instructed, to find a second solution y,(x). x y" + 2xy' - 6y = 0; y, = x Y2 %3D
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, e -SP(x) dx Y2 = Y,(x) (5) as instructed, to find a second solution y,(x). x y" + 2xy' - 6y = 0; y, = x Y2 %3D
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Y2(x) = -1/5×x-3  

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