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-/P(x) dx x²(x) 0/² Y₂ = Y₂ = y₁(x) dx (5) as instructed, to find a second solution y₂(x). 4x²y"+y=0; y₁ = x1/2 In(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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-/P(x) dx
y} (x)
Y2 = y₁(x)
Y₂
-dx
as instructed, to find a second solution y₂(x).
x1/2 In(x)
4x²y" + y = 0;
Y1 =
(5)
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-/P(x) dx y} (x) Y2 = y₁(x) Y₂ -dx as instructed, to find a second solution y₂(x). x1/2 In(x) 4x²y" + y = 0; Y1 = (5)
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