We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
GO TO SAT PREP GO TO ACT PREP
Differential Equations

Differential Equations

Differential Equations: Slope Field of Dreams Quiz

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


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


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.
Advertisement