d³ y 3 dx3 d²y dy + 3– dx² + 3- + 3y = 0 dx y = C1e¯* + C2etx + C3e¬ix y = Ce-* + (C2 + C3x)e¬ix O A. В. y = Ce-* + C2cosx + C3sinx y = Cje-* + C2e*cosx + C3e*sinx
d³ y 3 dx3 d²y dy + 3– dx² + 3- + 3y = 0 dx y = C1e¯* + C2etx + C3e¬ix y = Ce-* + (C2 + C3x)e¬ix O A. В. y = Ce-* + C2cosx + C3sinx y = Cje-* + C2e*cosx + C3e*sinx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
R
Transcribed Image Text:8. Evaluate *
d'y
3
dx³
d²y
dx²
dy
+ 3-
+ 3y = 0
dx
+ 3
y = C1e¯* + C2eix + C3e¬ix
y = Cje-* + (C2 + C3x)e¬ix
%3D
O A.
В.
y = C1e-* + C2cosx + C3sinx
y = Cje¯* + C2e*cosx + C3e*sinx
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