3. First-Order Equations II

Linear First-order Equations — Quiz

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

Practice Questions

Question 1

Which differential equation is linear first-order?

Question 2

Find the integrating factor for $y' + \frac{3}{x}y = x^2$ on $x>0$.

Question 3

Solve $y' - y = 0$ with $y(0)=5$.

Question 4

Solve $y' + 2y = 4$ with $y(0)=1$.

Question 5

In the standard form $y' + P(x)y = Q(x)$, what is $P(x)$ for the equation $y' - 4y = x$?