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Consider the differential equation defined by the auxiliary equation (D³ + 7D² + 19D +13)y = 0. What is the general solution of the given differential equation? A. y = C₁e* + e-3x (C₂cos2x + Casin2x) B. y = C₁e* + e-3x (C₂cos2x + Casin2x) C. y = C₁e* + e³x (C₂cos2x + C3sin2x) D. y = C₁e* + e³x (C₂cos2x + C3sin2x) E. None of these O A Ов E 5 points

Consider the differential equation defined by the auxiliary equation (D³ + 7D² + 19D +13)y = 0. What is the general solution of the given differential equation? A. y = C₁e* + e-3x (C₂cos2x + Casin2x) B. y = C₁e* + e-3x (C₂cos2x + Casin2x) C. y = C₁e* + e³x (C₂cos2x + C3sin2x) D. y = C₁e* + e³x (C₂cos2x + C3sin2x) E. None of these O A Ов E 5 points

Advanced Engineering Mathematics
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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Subject: Differential Equation (please show solution thank you!)
Consider the differential equation defined by the auxiliary equation (D³ +7D² + 19D +13)y = 0. What is the general solution of the given differential equation? A. y = C₁e* + e-3x (C₂cos2x + Casin2x) B. y = C₁e* + e-3x (C₂cos2x + Casin2x) е C. y = C₁e* + e³x (C₂cos2x + C3sin2x) D. y = C₁e* + e³x (C₂cos2x + C3sin2x) E. None of these O A О в * E 5 points
Transcribed Image Text:Consider the differential equation defined by the auxiliary equation (D³ +7D² + 19D +13)y = 0. What is the general solution of the given differential equation? A. y = C₁e* + e-3x (C₂cos2x + Casin2x) B. y = C₁e* + e-3x (C₂cos2x + Casin2x) е C. y = C₁e* + e³x (C₂cos2x + C3sin2x) D. y = C₁e* + e³x (C₂cos2x + C3sin2x) E. None of these O A О в * E 5 points
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