Think you’ve got your head wrapped around **Differential Equations**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. A solution *y* to the differential equation

passes through the point (4,12). What is the slope of *y* at that point?

3

4

Q. Which of the following slope fields is generated by the differential equation

Q. Determine the differential equation that generated the following slope field:

Q. Below is the slope field corresponding to some differential equation. Which of the following could be a solution to the d.e. that goes through the point (-3,4)?

Q. How many solutions to the differential equation go through the point (2,2) ?

none

1

2

infinitely many

Q. Find all equilibrium solutions to the differential equation

Q. For which of the following differential equations is *y* = 0 a stable equilibrium solution?

Q. Find all unstable equilibrium solutions for the differential equation

This differential equation has no unstable equilibrium solutions.

Q. A solution to the differential equation passes through the point *P*. This solution

must be concave up.

must be concave down.

may be horizontal depending on where *P* is.

is not a function because it fails the vertical line test.

Q. A solution to the differential equation

must be concave up.

must be concave down.

may be horizontal depending on where *P* is.

is not a function because it fails the vertical line test.