7. Differential Equations

Modeling Situations With Differential Equations — Quiz

Test your understanding of modeling situations with differential equations with 5 practice questions.

Practice Questions

Question 1

Which differential equation correctly models a quantity $y$ that changes at a rate proportional to its current value?

Question 2

A tank contains $100$ liters of water. The amount of salt $S(t)$ in the tank decreases at a rate proportional to the amount of salt present. Which differential equation matches this situation?

Question 3

What does a slope field for $\frac{dy}{dx}=f(x,y)$ show?

Question 4

A population model is given by $\frac{dP}{dt}=0.03P$. What type of behavior does this model describe?

Question 5

Which differential equation is separable?