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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 31E
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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
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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