Worksheet | Description | |
---|---|---|

Introduction #1 | Brief introduction to dsolve and DEplot for first-order equations. | |

Introduction #2 | Brief introduction to dsolve and DEplot for second-order equations. | |

Euler's method | Maple worksheet illustrating Euler's method | |

Heun's method | Maple worksheet illustrating Heun's method | |

Euler #1 | Simple blocks of Maple instructions that will do Euler's method for you. | |

Undetermined Coefficients #1 | A simple block of Maple commands that will do all of the dirty work of undetermined coefficients for you. (A great way to check your answers.) | |

Euler #2 | This turns the second-order equation into a system and runs Euler's method to build an approximate solution. Have fun! | |

Resonance | This worksheet generates handles the "general" damped, forced spring-mass system. It allows you to plot the amplitude as a function of the forcing frequency. | |

Limiting Behavior | This worksheet generates graphs in the phase plane for spring-mass systems. Some of the commands here can be useful when you start work on Project 2. | |

The REAL Pendulum | This worksheet generates solution curves for the real, nonlinear pendulum and allows you to compare the results with the linearized model. | |

Competing Species | This worksheet generates solution curves for a population model where two species compete for limited resources. | |

Euler's method (systems) | This worksheet implements Euler's method for a nonlinear predator-prey model. | |

Heun's method (systems) | This worksheet implements Heun's method for the same predator-prey model. | |

Euler's method (2nd order eqns.) | This worksheet implements Euler's method for a damped mass-spring model. | |

Heun's method (2nd order eqns.) | This worksheet implements Heun's method for the same mass-spring model. |

Maintained by: Arthur Heinricher, <heinrich@wpi.edu> Last modified: Thu Jan 14 08:18:30 EST 1999