7. Differential Equations

Exponential Models With Differential Equations — Quiz

Test your understanding of exponential models with differential equations with 5 practice questions.

Practice Questions

Question 1

What is the general solution of the differential equation $\frac{dy}{dt}=ky$, where $k$ is a constant?

Question 2

A quantity satisfies $\frac{dy}{dt}=0.2y$ and $y(0)=5$. What is $y(t)$?

Question 3

If a quantity satisfies $\frac{dy}{dt}=-0.3y$, which statement is true?

Question 4

For the model $\frac{dy}{dt}=ky$, what is the instantaneous relative rate of change $\frac{1}{y}\frac{dy}{dt}$?

Question 5

A quantity doubles every $4$ hours and follows $y(t)=Ce^{kt}$. What is $k$?