General Solution for Exponential Growth

Question

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

General Solution for Exponential Growth

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