We consider the differential equation \[\frac{\dd y}{\dd t}=\frac{4-2t}{3y^2-5}\]

Assignments

1. Determine the general solution of the differential equation in implicit form by the method of separation of variables.
2. Draw a slope field and use the geom_contour function from the ggplot2 package to draw some integral curves in it.
   The result should resemble the figure below.