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

Which differential equation describes exponential growth when the rate of change of $y$ is proportional to $y$ itself?

Question 2

A quantity $y$ satisfies $\frac{dy}{dt}=3y$. Which function is a solution?

Question 3

If $\frac{dy}{dx}=2y$ and $y(0)=5$, what is the particular solution?

Question 4

Which statement best describes the meaning of a slope field for $\frac{dy}{dx}=ky$?

Question 5

A population follows the model $\frac{dP}{dt}=0.04P$. What does the constant $0.04$ represent?