2. First-Order Equations I

Separable Equations — Quiz

Test your understanding of separable equations with 5 practice questions.

Practice Questions

Question 1

Which differential equation is separable?

Question 2

After separating variables in $\frac{dy}{dx}=\frac{x^2}{y}$, which equation is obtained?

Question 3

Solve $\frac{dy}{dx}=3y$ with $y(0)=5$.

Question 4

Solve $\frac{dy}{dx}=2x$ with $y(0)=1$.

Question 5

After rewriting a separable equation as $g(y)\,dy=f(x)\,dx$, what is the next standard step?