2. Calculus II
First Order Odes — Quiz
Test your understanding of first order odes with 5 practice questions.
Practice Questions
Question 1
Which of the following differential equations is both separable and linear?
Question 2
What is the general solution to the separable differential equation $ \frac{dy}{dx} = \frac{x}{y} $?
Question 3
A bacterial population grows at a rate proportional to its current size. If the initial population is 1000 and it triples in 2 hours, what is the population after 5 hours?
Question 4
What is the integrating factor for the linear first-order differential equation $ \frac{dy}{dx} - 3y = e^{2x} $?
Question 5
Consider a substance decaying exponentially with a half-life of 5 years. If the initial amount is 200 grams, what is the amount remaining after 10 years?