Consider the attached system of differential equations.
x' = xy + x
y' = xy + y^2
a. Find the equilibrium points associated with this system.
b. Linearize the system about each of the equlibrium points you find in part a.
The system of equations is
a) To find the equilibrium points, we set
From the first ...
The equilibrium points of a system of differential equations are found and the system linearized about those points. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.