The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y₂ e-/P(x) dx y²2(x) II Y₂ = Y₁(x) [² -dx as instructed, to find a second solution y₂(x). 6y" + y' - y = 0; Y₁ ex/3 (5)

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 y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
4.2,
Y₂
e-/P(x) dx
y²2(x)
II
Y₂ = Y₁(x) [²
-dx
as instructed, to find a second solution y₂(x).
6y" + y' - y = 0;
Y₁
ex/3
(5)
Transcribed Image Text:The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y₂ e-/P(x) dx y²2(x) II Y₂ = Y₁(x) [² -dx as instructed, to find a second solution y₂(x). 6y" + y' - y = 0; Y₁ ex/3 (5)
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