The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -IP(x) dx (x) / ² X2 = Y₂ = x₁(x) dx (5) as instructed, to find a second solution y₂(x). y" - 10y' + 25y = 0; y₁ = ex

Advanced Engineering Mathematics
10th Edition
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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
x²(x)
Y₂ = x₂(x) |
X2=
dx
(5)
as instructed, to find a second solution y₂(x).
y" - 10y' + 25y = 0; y₁ = ex
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 x²(x) Y₂ = x₂(x) | X2= dx (5) as instructed, to find a second solution y₂(x). y" - 10y' + 25y = 0; y₁ = ex
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