Please help me answer the below... i am sooo stuck!
A model for the spread of a disease through a population is given by the system:
dx/dt = -4xy
dy/dt = 4xy-500y
Here x(t) represents the susceptible population, and y(t) represents the infected population. Solve the differential equations to find y in terms of x. Sketch and Justify a phase plane diagram.
Discuss what this analysis tells you about the spread of the disease.
Both of these differential equations are separable. may be rearranged as ,