7. Differential Equations

First-order Linear Equations — Quiz

Test your understanding of first-order linear equations with 5 practice questions.

Practice Questions

Question 1

Which equation is the standard form of a first-order linear differential equation?

Question 2

Which differential equation is linear in $y$?

Question 3

For a first-order linear equation in the form $\frac{dy}{dx}+P(x)y=Q(x)$, what is the integrating factor?

Question 4

Solve $\frac{dy}{dx}+2y=0$ with $y(0)=3$.

Question 5

Which equation is the standard-form rewrite of $\frac{dy}{dx}=x-y$?