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Differential Equations

Differential Equations

Differential Equations: Slope Field of Dreams True or False

1. A solution y to the differential equation

passes through the point (4,12). What is the slope of y at that point?3

2. Which of the following slope fields is generated by the differential equation
3. Determine the differential equation that generated the following slope field:


4. 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)?


5. How many solutions to the differential equation go through the point (2,2) ?none
6. Find all equilibrium solutions to the differential equation y = ± 2, y = 4
7. For which of the following differential equations is y = 0 a stable equilibrium solution?
8. Find all unstable equilibrium solutions for the differential equation This differential equation has no unstable equilibrium solutions.
9. A solution to the differential equation passes through the point P. This solutionmust be concave up.
10. A solution to the differential equation  

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


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