Graphical Solutions to Systems of ODEs

The functions x, y, and z returned previously as output can be plotted.


$\blacktriangleright$ Plot 2D + Rectangular

x

In the dialog box,

1.
Note that x appears as Item number 1.

2.
Change the Domain Interval to 0 to 5.

3.
Click Add Item.

4.
Type y as Item Number 2. Change Line Color to Red.

5.
Click Add Item.

6.
Type z as Item Number 3. Change Line Color to Green.

7.
Click OK.

dtbpF3.0225in2.0228in0ptodenum2.wmf

Note that the numeric output for t between 0 and 1 does not predict long-range behavior. This system of differential equations describes a highly unstable system.


You can also plot these functions with Plot 2D + ODE.

$\blacktriangleright$ Plot 2D + ODE

x, y, z

dtbpF3.0441in2.0384in0ptplotode3.wmf