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) ?
go through the point (2,2) ? none
1
2
infinitely many
Q. Find all equilibrium solutions to the differential equation 
y = ± 2
y = ± 4
y = ± 2, y = 4
y = -2, y = ± 4
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.
y = 0
y = 3 and y = -2
y = -3 and y = 2
Q. A solution to the differential equation 
passes through the point P. This solution
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.