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Solving Systems

Exercises

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Exercise 2: Solution Graphs

When solving:

System Initial Conditions
x' = 3x + 2y - z
y' = x - y + 4z
z' = 4x + y 		x(0) = 1
y(0) = 2
z(0) = 0

on the interval -1 ≤ t ≤ 1, the graphs of the components of your solution should look like these:

x-component plot

Graph of the x-component of the Solution

y-component plot

Graph of the y-component of the Solution

z-component plot

Graph of the z-component of the Solution

If you didn't get graphs similar to these, then obviously you should check over your calculations, and try again. When you're done looking you can return to the Exercises...

Compass If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment.
 
 

ODE Laboratories: A Sabbatical Project by Christopher A. Barker
©2009 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA
e-mail: cbarker@deltacollege.edu