Which of the following is the general solution of the fifth-order homogeneous linear differential equation with constant coefficients, whose characteristic equation has roots 9+4i, 9-4i, 9,9,13? O a. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 e^(9x)+c_4 e^(9x)+c_5 e^(13x) O b. y=e^(4x) (c_1 sin9x+c_2 cos9x) +c_3 e^(9x)+c_4 xe^(9x)+c_5 e^(13x) O c. y=(c_1 sin(9+i4)x+c_2 cos(9+i4)x) +c_3 e^(9x)+c_4 xe^(9x) +c_5 e^(13x) O d. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 e^(9x)+c_4 xe^(9x)+c_5 e^(13x) O e. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 xe^(9x)+c_4 x^(2) e^(9x)+c_5 e^(13x)
Which of the following is the general solution of the fifth-order homogeneous linear differential equation with constant coefficients, whose characteristic equation has roots 9+4i, 9-4i, 9,9,13? O a. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 e^(9x)+c_4 e^(9x)+c_5 e^(13x) O b. y=e^(4x) (c_1 sin9x+c_2 cos9x) +c_3 e^(9x)+c_4 xe^(9x)+c_5 e^(13x) O c. y=(c_1 sin(9+i4)x+c_2 cos(9+i4)x) +c_3 e^(9x)+c_4 xe^(9x) +c_5 e^(13x) O d. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 e^(9x)+c_4 xe^(9x)+c_5 e^(13x) O e. y=e^(9x) (c_1 sin4x+c_2 cos4x)+c_3 xe^(9x)+c_4 x^(2) e^(9x)+c_5 e^(13x)
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 10E
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