Find the general solution of the given higher-order differential equation. dy 16. dx4 + 40 + 25y = 0 dx2 y(x) = C,sin x+Czsin 原)-9 cos
Find the general solution of the given higher-order differential equation. dy 16. dx4 + 40 + 25y = 0 dx2 y(x) = C,sin x+Czsin 原)-9 cos
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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Number 7 show all work from differential equations
Transcribed Image Text:Find the general solution of the given higher-order differential equation.
16.
+ 40-
+ 25y = 0
dx4
dx2
y(x) = Csin
X+C,x cos
x+ C,sin
+c,co
+ c, cos
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