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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!
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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.
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