Mathematics & Science Learning Center
Computer Laboratory
Solving Systems
CONTENT GUIDE for SOLVING SYSTEMS LABORATORY
General Introduction & Introductory Example
Solving the Preliminary Example in
Mathematica
Checking the Validity of a Proposed Solution
Checking the LHS of Eq. 1
Results of Checking the LHS & Checking the RHS of Eq. 1
Results of Checking the RHS & Checking Eq. 2
Results of Checking Eq. 2
Solving Symbolically and a Related IVP Numerically
Syntax of
DSolve
& Solving the System Symbolically
Results of Solving the System Symbolically
Syntax of
NDSolve
& Solving the IVP Numerically
Results of Solving the IVP Numerically & the
[[1,#,2]]
Trick
Results of the
[[1,#,2]]
Trick
Comparing the Proposed & Numerical Solutions Graphically
Plotting the
x
-component of the Numerical Solution
Results of the Above & Plotting the
x
-component of the Proposed Solution
Results of the Above & Showing Both Plots on the Same Graph
Results of the Above & Repeating the Comparison with the
x
-components
Results of the Above
Exercises
Exercise 1: Solution Graphs
Exercise 2: Solution Graphs
Exercise 3: Solution Graphs
Main Table of Contents for All ODE Laboratories
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