Maple worksheets on first order differential equations |

Differential equations:

- First order differential equations
- Second order differential equations
- Partial differential equations and the 1-dimensional wave equation

The following Maple worksheets can be downloaded.

They are all compatible with

Classic Worksheet Maple 10.

Introduction to differential equations-DEintro.mws

- What is a differential equation?
- Preliminary examples.
- The direction, or gradient field, associated with a differential equation.
- Solving differential equations with Maple using
dsolve.- Plotting a solution of a differential equation.
- Plotting a solution along with the gradient field.
- Using
dsolve( . . , type=numeric)andodeplot.

First order differential equations with separable variables I-sepvar.mws

- General method of solving first order DE's with separable variables.
- Examples

More examples of 1st order differential equations with separable variables-sepvar2.mws

A procedure for solving 1st order differential equations with separable variables-sepvar3.mws

- A procedure for solving first order DE's with separable variables -
desolveSV.- General solution examples
- Particular solution examples
- A symbolic example

First order linear differential equations-linearDE.mws

- Method of solution of first order linear DE's
- The formula for the Integrating factor

A procedure for solving 1storder linear differential equations-linearDE2.mws

- A procedure for solving first order linear DE's -
desolveLN.- General solution examples
- Particular solution examples

A procedure for solving 1st order homogeneous differential equations-homogDE.mws

- Solving first order homogeneous DE's.
- A procedure for solving first order homogeneous DE's -
desolveHG.- General solution examples
- Particular solution examples

First order exact differential equations-exactDE.mws

- What is an exact differential equation?
- Method of solution of exact differential equations.
- Graphing implicit solutions of an exact DE.
- Alternative scheme for solving exact DE's.

A procedure for solving 1storder exact differential equations-exactDE2.mws

- A procedure for solving first order exact DE's:
desolveEX.- General solution examples
- Particular solution examples

Applications of first order differential equations-appDE.mws

- An RL circuit
- Population growth - the logistic equation
- An object falling in a resisting medium
- An RC circuit
- The rate of a chemical reaction

First order Bernoulli differential equations-bernoulliDE.mws

- First order Bernoulli DE's.
- A procedure for solving first order Bernoulli DE's:
desolveBN.- Examples.

First order inverse linear differential equations-invlinearDE.mws

- First order inverse linear DE's.
- A procedure for solving first order inverse linear DE's:
desolveNL.- Examples.

Procedures for differential equations- DEsol.zip