## Mathematics & Science
Learning Center |
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## Solving Systems
## ExercisesEach of the exercises that you are going to do will have essentially the same instructions: - Use NDSolve to solve the initial value problem on the interval given.
- Extract the individual components of the solution into separate variables using the "[[1,#,2]] trick" that you saw being used in the preliminary example.
- Plot the graphs of the each of the components of the solution on separate coordinate systems. There is no need to use color.
## Exercise 1## A Simple First Order System in Two Dependent VariablesThe following initial value problem is extremely similar to the one you saw me do in the preliminary example.
Solve it numerically, and plot the solution's components on the interval
-1 ≤ ## Exercise 2## A Simple First Order System in Three Dependent VariablesThe following initial value problem involves
Solve it numerically, and plot the solution's components on the interval
-1 ≤ ## Exercise 3## A Second Order System in Two Dependent VariablesThe following initial value problem involves
Solve it numerically, and plot the solution's components on the interval
0 ≤ You have now completed this laboratory. You may now return to its beginning, go to the Table of Contents of all the Differential Equations Laboratories, or simply quit altogether. |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |