Which one(s) of the following are solutions to the differential equation ?

Question

Which one(s) of the following are solutions to the differential equation  ?

Quizplus · Accepted Answer

The solution to the given differential equation is of the form y = Ce^{-t/11}, where C is a constant.

Substituting each option into this form, we get:
A) y = Ce^{-t/11}
B) y = Ce^{-(t/11 + 1)}
C) y = Ce^{-(t/11 + 2)}
D) y = Ce^{-(t/11 - 7)}
E) y = Ce^{-(t/11 - 8)}

Option B is the only one that satisfies the form y = Ce^{-t/11}, with C = e^{-1/11}. Therefore, option B is the solution to the given differential equation.

Which One(s) of the Following Are Solutions to the Differential