3. Ordinary Differential Equations

Systems Of Odes — Quiz

Test your understanding of systems of odes with 5 practice questions.

Practice Questions

Question 1

When analyzing a linear system of ODEs, if the eigenvalues of the coefficient matrix are real and negative, what kind of critical point is the origin?

Question 2

What is the primary tool used to visualize the behavior of solutions to systems of ODEs without explicitly solving them?

Question 3

Consider a system of ODEs given by $ \frac{dx}{dt} = y $ and $ \frac{dy}{dt} = -x $. What is the characteristic equation for this system?

Question 4

Which of the following describes a stable spiral sink critical point in a linear system of ODEs?

Question 5

What is a common method for linearizing a nonlinear system of ODEs around a critical point?