Basic Mathematical Models; Direction Fields

A Falling Object

A Falling Object

Modeling with Differential Equations

1. Identify the dependent and independent variables.

2. Choose units of measurement.

3. Articulate the basic principle that underlies or governs the problem.

4. Express the principles in terms of the variables.

5. Make sure your units are consistent.

6. Use additional differential equations if necessary.

A Field Mice Population

Example

Example

Example

Example