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?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)О е у-е^ (9x) (с 1 sin4x+c 2 cos4x) +с 3 хе^ (9х) +с 4 x^(2)^(9x) +c_5 e^(13x)e.

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)

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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