Pages similar to: Exponential growth and decay: a differential equation
- An introduction to ordinary differential equations
An introduction using simple examples explaining what an ordinary differential equation is and how one might solve them. - Another differential equation: projectile motion
Calculating an equation for the position of an object acted upon by only gravity. - Spruce budworm outbreak model
A graphical analysis of a differential equation model reveals how the spruce budworm could devastate forests every 40 years. - The Forward Euler algorithm for solving an autonomous differential equation
Using the linear approximation, or tangent line, to the solution of a differential equation to estimate the solution over small intervals. - Introduction to bifurcations of a differential equation
Representing the influence of a parameter on the behavior of a differential equation in terms of a bifurcation diagram of equilibria. - Ordinary differential equation examples
Simple examples of solving ordinary differential equation. - Solving linear ordinary differential equations using an integrating factor
Illustration of the procedure to find an integrating factor that allows integration of a first order linear ordinary differential equation. - Examples of solving linear ordinary differential equations using an integrating factor
Examples of finding an integrating factor and integrating first order linear ordinary differential equations. - Solving single autonomous differential equations using graphical methods
Using graphical methods, one can observe where the rate of change is positive or negative and determine the behavior of a solution to a differential equation. - Single autonomous differential equation problems
Sample problems involving analysis of a single autonomous differential equation. - Introduction to visualizing differential equation solutions in the phase plane
- Two dimensional autonomous differential equation problems
Sample problems involving analysis of a two coupled autonomous differential equations. - Solutions to two dimensional autonomous differential equation problems
Solutions to sample problems involving analysis of a two coupled autonomous differential equations. - A simple spiking neuron model
An introduction to the Fitzhugh Nagumo model of a spiking neuron, including basic phase plane analysis. - Limits of exponential functions at infinity
Calculating limits of exponential functions as a variable goes to infinity. - The idea of the derivative of a function
The derivative of a function as the slope of the tangent line. - Derivatives of polynomials
How to compute the derivative of a polynomial. - Derivatives of more general power functions
How to compute the derivative of power functions. - A refresher on the quotient rule
How to compute the derivative of a quotient. - A refresher on the product rule
How to compute the derivative of a product.