Differential Equations! Help!

Question

Which of the following functions would be solutions to the differential equation y”-5y’-14y=0

A. y(x)=e^-x

B. y(x)=e^7x

C. y(x)= 0

D. y(x)= 7x

E. y(x)= e^-2x

F. y(x)= -2x

G. y(x)= e^x

there is more than one answer.

Answer 1

Is y=0 a function? If the general solution is Ae^-2x+Be^7x , it is covered by A=B=0 (Gross!)