# 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 True False 2 Which of the following slope fields is generated by the differential equation -> True False 3 Determine the differential equation that generated the following slope field: -> True False 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)? -> True False 5 How many solutions to the differential equation go through the point (2,2) ? -> none True False 6 Find all equilibrium solutions to the differential equation -> y = ± 2, y = 4 True False 7 For which of the following differential equations is y = 0 a stable equilibrium solution? -> True False 8 Find all unstable equilibrium solutions for the differential equation -> This differential equation has no unstable equilibrium solutions. True False 9 A solution to the differential equation passes through the point P. This solution -> must be concave up. True False 10 A solution to the differential equation   -> is not a function because it fails the vertical line test. True False