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If the Auxiliary Equation of a Certain Linear, Homogeneous, 7th

Question 77

Multiple Choice

If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) find the general solution of the DE.


A) y = A If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + Bt + C If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + (D + Et) cos(t) + (F + Gt) sin(t)
B) y = If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) (A + Bt + C If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) ) + (D + Et) cos(t) + (F + Gt) sin(t)
C) y = A + Bt + C If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + (D + Et) cos(t/2) + (F + Gt) sin(t/2)
D) y = A + Bt + C If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + (D + Et) cos(t) + (F + Gt) sin(t)
E) y = A If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + Bt If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + C If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) If the auxiliary equation of a certain linear, homogeneous, 7th order DE with constant coefficients factors to find the general solution of the DE. A) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) B) y = (A + Bt + C ) + (D + Et) cos(t) + (F + Gt) sin(t) C) y = A + Bt + C + (D + Et) cos(t/2) + (F + Gt) sin(t/2) D) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) E) y = A + Bt + C + (D + Et) cos(t) + (F + Gt) sin(t) + (D + Et) cos(t) + (F + Gt) sin(t)

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