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Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. OA.y = C₁e(t) cos2t + C2 e(t) sin3t OB.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-2t) OC.y = C₁e(t) cos2t + C2 e(t) sin2t O D.y = C₁ e(t) cos2t + C2 e(t) sin2t + C3 e(-3t)

Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. OA.y = C₁e(t) cos2t + C2 e(t) sin3t OB.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-2t) OC.y = C₁e(t) cos2t + C2 e(t) sin2t O D.y = C₁ e(t) cos2t + C2 e(t) sin2t + C3 e(-3t)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. O A.y = C₁e(t) cos2t + C₂ e(t) sin3t OB.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-2t) OC.y = C₁e(t) cos2t + C2 e(t) sin2t OD.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-3t)
Transcribed Image Text:Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. O A.y = C₁e(t) cos2t + C₂ e(t) sin3t OB.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-2t) OC.y = C₁e(t) cos2t + C2 e(t) sin2t OD.y = C₁ e(t) cos2t + C₂ e(t) sin2t + C3 e(-3t)
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