2. Pure Mathematics 2

Differential Equations — Quiz

Test your understanding of differential equations with 5 practice questions.

Practice Questions

Question 1

Which of the following is the general solution of the first-order separable differential equation $\frac{dy}{dx} = 3y$?

Question 2

What is the integrating factor for the first-order linear differential equation $\frac{dy}{dx} + 2y = x$?

Question 3

Which of the following is a correct step in solving the separable differential equation $\frac{dy}{dx} = \frac{x}{y}$?

Question 4

What is the particular solution of the differential equation $\frac{dy}{dx} = 4y$ given that $y(0) = 2$?

Question 5

Which of the following represents the general solution to the differential equation $\frac{dy}{dx} = 5x$?