Find the general solution of the given higher-order differential equation. d* y dx 7d -18y = 0 dx2 O y = Cje* + C2e-3* + Cze*v2 + C4e-*v2 Oy = Ce* + C2e-3x + C3 cos(x) + C4 sin(x) O y = Cje* + Cze-3* + C3 cos(xv2) + C4 sin(xv2) O y = Cjex + C2e-3* + C3xe³x + C4xe-3x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the general solution of the given higher-order differential equation.
dty
74 - 18y = 0
-
dx4
dx2
O y = Cex + C,e-3x + Cze*v2 + C4e *v2
O y = Cex + C2e-3x +C3 cos(x) + C4 sin(x)
O y = Cjex + C2e-3x + C3 cos(xv2) + C4 sin(xv2)
O y = Cjex + C2e-3x + C3xe³x + C4xe-3x
Transcribed Image Text:Find the general solution of the given higher-order differential equation. dty 74 - 18y = 0 - dx4 dx2 O y = Cex + C,e-3x + Cze*v2 + C4e *v2 O y = Cex + C2e-3x +C3 cos(x) + C4 sin(x) O y = Cjex + C2e-3x + C3 cos(xv2) + C4 sin(xv2) O y = Cjex + C2e-3x + C3xe³x + C4xe-3x
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