Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = ex sec x y(x) = e(c₁cos(x) + c₂sin(x)) - e*cos(x) ln cos(x) + xe sin(x) x
Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = ex sec x y(x) = e(c₁cos(x) + c₂sin(x)) - e*cos(x) ln cos(x) + xe sin(x) x
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:Solve the differential equation by variation of parameters.
2y" - 4y' + 4y = ex sec x
y(x) =
ex (c₁cos(x) + c₂sin(x)) - e*cos(x)In cos(x)| + xe sin(x) x
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