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Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them. z"" +5z"-25z' - 125z = 0 A general solution is z(t) = .

Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them. z"" +5z"-25z' - 125z = 0 A general solution is z(t) = .

Advanced Engineering Mathematics
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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Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them. z""' +5z" - 25z' - 125z = 0 A general solution is z(t) = .
Transcribed Image Text:Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them. z""' +5z" - 25z' - 125z = 0 A general solution is z(t) = .
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