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 Y₂ - Y₂ (x) [√²(x) dx (5) as instructed, to find a second solution y(x). y" - 6y +9y=0; y₁ = ²x 3x Y₂ xe

Advanced Engineering Mathematics
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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
Y₂ - Y₁ (X)/5
x²(x)
(5)
as instructed, to find a second solution y(x).
y"-6y +9y=0;
₁²x
3x
Y₂ xe
dx
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 Y₂ - Y₁ (X)/5 x²(x) (5) as instructed, to find a second solution y(x). y"-6y +9y=0; ₁²x 3x Y₂ xe dx
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