11. Phase Plane Analysis

Equilibrium Points — Quiz

Test your understanding of equilibrium points with 5 practice questions.

Practice Questions

Question 1

For an autonomous system $x'=f(x,y)$, $y'=g(x,y)$, what condition must a point $(a,b)$ satisfy to be an equilibrium point?

Question 2

For the differential equation $y'=y-3$, what is the equilibrium solution?

Question 3

For the system $x'=y$, $y'=-x$, which point is an equilibrium point?

Question 4

What happens to a solution that starts exactly at an equilibrium point in an autonomous system?

Question 5

How many equilibrium points does the system $x'=x(1-x)$, $y'=y(2-y)$ have?