3. Ordinary Differential Equations

First Order Odes — Quiz

Test your understanding of first order odes with 5 practice questions.

Practice Questions

Question 1

What is the general solution to the separable first-order ODE $\frac{dy}{dx} = 5y$?

Question 2

Consider the linear first-order ODE $\frac{dy}{dx} + 2y = 4$. What is the integrating factor?

Question 3

What is the first step in solving the exact ODE $M(x,y)dx + N(x,y)dy = 0$?

Question 4

What is the general solution for the linear first-order ODE $\frac{dy}{dx} + 3y = 6$?

Question 5

Consider the ODE $\frac{dy}{dx} = 2y + 3$. What is the first step in solving this linear first-order ODE?