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Match the general solutions to the differential equations. - (D² + 2D+ 5)²y = 0 ✓(D²-6D + 10)²y=0 ✓(D²-8D +25)2 y = 0 ✓(D²-4D +29)2 y = 0 - . – A. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) B. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) C. y = e3X(A cosx + B sinx + Cx cosx + Ex sinx) D.y = e-4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) E. y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) F. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) G.y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) H.y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)

Match the general solutions to the differential equations. - (D² + 2D+ 5)²y = 0 ✓(D²-6D + 10)²y=0 ✓(D²-8D +25)2 y = 0 ✓(D²-4D +29)2 y = 0 - . – A. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) B. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) C. y = e3X(A cosx + B sinx + Cx cosx + Ex sinx) D.y = e-4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) E. y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) F. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) G.y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) H.y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)

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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Match the general solutions to the differential equations. - (D² + 2D+ 5)²y = 0 ✓(D²-6D + 10)²y=0 ✓(D²-8D +25)2 y = 0 ✓(D²-4D +29)2 y = 0 - . – A. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) B. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) C. y = e3X(A cosx + B sinx + Cx cosx + Ex sinx) D.y = e-4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) E. y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) F. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) G.y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) H.y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)
Transcribed Image Text:Match the general solutions to the differential equations. - (D² + 2D+ 5)²y = 0 ✓(D²-6D + 10)²y=0 ✓(D²-8D +25)2 y = 0 ✓(D²-4D +29)2 y = 0 - . – A. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) B. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) C. y = e3X(A cosx + B sinx + Cx cosx + Ex sinx) D.y = e-4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) E. y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) F. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) G.y = ex(A cos2x + B sin2x + Cx cos2x + Ex sin2x) H.y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)
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