Example 2

Investigate the behavior of the ODE $x' \,=\, 2t - x$. Plot one solution to the ODE in an appropriate rectangle that illustrates the general behavior of the ODE.

1. Change only the following in init.m

   ftx = '2*t-x';
   initax = [-2,2,-2,2];

   Save then type init in the command window to initialize the variables (or copy-and-paste in the Emporium).

2. Use slopef.m to determine if the entries for initax are suitable.
   
   
   

3. Type sol1. Answer ``n'' to retain the current slopefield.

4. Choose manual entry by clicking with the crosshairs inside the graphics window but outside of the actual plot. At each respective prompt enter $t_0 = -0.00504$ and $x_0 = -0.50479$.