Question 1
What does it mean to verify that a function $y=f(x)$ is a solution to a differential equation such as $\frac{dy}{dx}=2x$?
Question 2
Which function is a solution to $\frac{dy}{dx}=3x^2$?
Question 3
A student proposes that $y=e^x$ solves the differential equation $\frac{dy}{dx}=y$. Is the student correct?
Question 4
Which step is most important first when checking whether $y=\sin x$ is a solution to $\frac{dy}{dx}=\cos x$?
Question 5
Which equation is a differential equation for which $y=4$ is a solution?
