General Solution for Exponential Growth

Question

The mass of a growing crystal, in grams, is modeled by a nonconstant function $$M(t)$$, where $$t$$ is the time in days for $$t \geq 0$$. The function $$M$$ satisfies the differential equation $$\displaystyle\frac{dM}{dt} = 5M$$. Which of the following is the general solution for $$M(t)$$?

Accepted Answer

$$\displaystyle M = Ce^{5t}$$

Answer

$$\displaystyle M = 5Ce^t$$

Answer

$$\displaystyle M = 5e^t + C$$

Answer

$$\displaystyle M = e^{5t} + C$$

General Solution for Exponential Growth

Question Leaderboard