Im a little lost on this question, any help is appreciated, for this example I need to use Sage, but I'm sure matlab would work as well.

1.3.9.3 Sage Exercises 1. Suppose that the population of a trout pond can be accurately modeled by the logistic equation dtdp=0.4p(1500p). At time t=30, a disease is introduced into the population that kills 10% of the population per year. To see how the disease affects the fish population, we will change our original model to the following: dtdp={0.4p(1500p)0.4p(1500p)0.1pfor0t30. a. Plot the direction field for this equation using Sage. b. Plot the graphs of two or three representative solutions to this equation on the direction field. c. Find formulas for the solutions of this equation for initial conditions p(0)=30. d. Give a qualitative description of how the disease affects the population