7. Differential Equations

Finding General Solutions Using Separation Of Variables — Quiz

Test your understanding of finding general solutions using separation of variables with 5 practice questions.

Practice Questions

Question 1

Solve the differential equation $\frac{dy}{dx}=6x^2$.

Question 2

Solve the differential equation $\frac{dy}{dx}=4y$.

Question 3

Solve the differential equation $\frac{dy}{dx}=\frac{3}{x}$ for $x\ne 0$.

Question 4

Solve the differential equation $\frac{dy}{dx}=2xy$.

Question 5

A solution to $\frac{dy}{dx}=\frac{x}{y}$ satisfies $y(0)=2$. What is the particular solution?