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. |