Which of the following functions solves the differential equation: $y ^ { \prime } = - 4 y$ ?
A) y = $e ^ { - 4 t }$
B) y = - $e ^ { - 4 t }$
C) y = ln 4t
D) none of these

Question

Quizplus · Accepted Answer

The solution to the differential equation $y' = -4y$ is of the form $y = Ce^{-4t}$, where $C$ is a constant. Since $e^{-4t}$ is a solution and matches option A, it is correct. Options B and C do not satisfy the differential equation as their derivatives do not yield $-4y$.

Which of the Following Functions Solves the Differential Equation y′=−4yy ^ { \prime } = - 4 yy′=−4y

Which of the Following Functions Solves the Differential Equation $y ^ { \prime } = - 4 y$