Enter the systemin the PPLANE6 Setup window. Set the display window to −10 ≤ x ≤ 10 and −2...

Enter the system

in the PPLANE6 Setup window. Set the display window to −10 ≤ x ≤ 10 and −2 ≤ y ≤ 4 and select None for the vector field.

a) Select File→Save the current system and save the system with the name teddybears. pps.

b) Select Gallery→linear system to load the linear system template. Select File→Load a system and load the system teddybears.pps.

c) Select Solutions→Keyboard input and start a solution trajectory with initial condition (π/2, 0) to create the “legs” of the Teddy bears, and a trajectory with initial condition (−7.2, 3.5) to create the “heads” of the Teddy bears.

d) Experiment further with this “wild and wooly” example. Click the mouse in the phase plane to start other solution trajectories. Can you find the “eyes” of the Teddy bears?