Differential Equations (Math 3301)
First Order Differential Equations
Linear Equations Identifying and solving linear first order differential equations.
Separable Equations Identifying and solving separable first order differential equations. We’ll also start looking at finding the interval of validity from the solution to a differential equation.
Exact Equations Identifying and solving exact differential equations. We’ll do a few more interval of validity problems here as well.
Bernoulli Differential Equations In this section we’ll see how to solve the Bernoulli Differential Equation. This section will also introduce the idea of using a substitution to help us solve differential equations.
Substitutions We’ll pick up where the last section left off and take a look at a couple of other substitutions that can be used to solve some differential equations that we couldn’t otherwise solve.
Intervals of Validity Here we will give an in-depth look at intervals of validity as well as an answer to the existence and uniqueness question for first order differential equations.
Modeling with First Order Differential Equations Using first order differential equations to model physical situations. The section will show some very real applications of first order differential equations.
Equilibrium Solutions We will look at the behavior of equilibrium solutions and autonomous differential equations.
Euler’s Method In this section we’ll take a brief look at a method for approximating solutions to differential equations.