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Match the general solutions to the differential equations. (D²+20+5)²y=0 ✓(D²-6D+10)²y=0 ✓(0²-8D+25)² y=0 ✓(D²-40+29)² y = 0 A. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B.y=e4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x+ B sin2x + Cx cos2x+ Ex sin2x) D.y = 3x (A cosx + B sinx + Cx cosx + Ex sinx) E. y = 2x (A cos5x + 8 sin5x + Cx cos5x + Ex sin5x) F. y = 4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y=eX(A cos2x + 8 sin2x + Cx cos2x+ Ex sin2x) Huy= e3X(A cosx + E sinx + Cx cosx + Ex sinx)

Match the general solutions to the differential equations. (D²+20+5)²y=0 ✓(D²-6D+10)²y=0 ✓(0²-8D+25)² y=0 ✓(D²-40+29)² y = 0 A. y = 2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B.y=e4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x+ B sin2x + Cx cos2x+ Ex sin2x) D.y = 3x (A cosx + B sinx + Cx cosx + Ex sinx) E. y = 2x (A cos5x + 8 sin5x + Cx cos5x + Ex sin5x) F. y = 4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y=eX(A cos2x + 8 sin2x + Cx cos2x+ Ex sin2x) Huy= e3X(A cosx + E sinx + Cx cosx + Ex sinx)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Match the general solutions to the differential equations. ✓ (D²+20+5)²y = 0 ✓ (D²-6D+ 10)²y=0 ✓(D²-8D+25)² y=0 ✓(D²-4D+29)² y=0 - A. y = e2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B. y = e-4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x- + B sin2x + Cx cos2x + Ex sin2x) D. y = e3X(A cosx + E sinx + Cx cosx + Ex sinx) E. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) F. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y = e(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+20+5)²y = 0 ✓ (D²-6D+ 10)²y=0 ✓(D²-8D+25)² y=0 ✓(D²-4D+29)² y=0 - A. y = e2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) B. y = e-4x (A cos3x + 8 sin3x + Cx cos3x + Ex sin3x) C.y=eX(A cos2x- + B sin2x + Cx cos2x + Ex sin2x) D. y = e3X(A cosx + E sinx + Cx cosx + Ex sinx) E. y = e-2x (A cos5x + B sin5x + Cx cos5x + Ex sin5x) F. y = e4x (A cos3x + B sin3x + Cx cos3x + Ex sin3x) G.y = e(A cos2x + B sin2x + Cx cos2x + Ex sin2x) H-y = e-3x (A cosx + B sinx + Cx cosx + Ex sinx)
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