y" - 10y' +26y=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the general solution of the given second-order differential equation.
y" - 10y' +26y=0
y(x) =
C₁ + C₂ exp(5x)
C₁ exp(x/5) + C₂ exp(-x/5)
C₁ exp(-5x) sin(x) + C₂ exp(-5x) cos(x)
C₁ + C₂ exp(-5x)
C₁ exp(-5x) + C₂ x exp(-5x)
C₁ exp(5x) cos(x) + C² exp(5x) sin(x)
No solution.
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