The indicated function y, (x) is a solution of the given diffe x²y" – 9xy' + 25y = 0; Y1 = x5 - %3D %3D Use reduction of order or formula (5) in Section 4.2, as in e-SP(x) dx Y2 = Y1(x) (5) %3D y? (x) 2 xp

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.
x²y" – 9xy' + 25y = 0;
Yq = x5
Use reduction of order or formula (5) in Section 4.2, as instructed.
e-SP(x) dx
Y2 = Y1(x)
dx
|(5)
2
y(x)
Find the integrating factor.
e-SP(x) dx =
Find a second solution y,(x).
Y2 =
Transcribed Image Text:The indicated function y, (x) is a solution of the given differential equation. x²y" – 9xy' + 25y = 0; Yq = x5 Use reduction of order or formula (5) in Section 4.2, as instructed. e-SP(x) dx Y2 = Y1(x) dx |(5) 2 y(x) Find the integrating factor. e-SP(x) dx = Find a second solution y,(x). Y2 =
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