APFIVE General Solution for Exponential Growth
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 $$M$$?
A
$$\displaystyle M = 5e^t + C$$
B
$$\displaystyle M = e^{5t} + C$$
C
$$\displaystyle M = 5Ce^t$$
D
$$\displaystyle M = Ce^{5t}$$
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