Purchase Solution

System of Differential Equations : Find Equilibrium Points and Linearize

Not what you're looking for?

Ask Custom Question

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.

Attachments
Purchase this Solution

Solution Summary

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.

Solution Preview

The system of equations is

a) To find the equilibrium points, we set

From the first ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.