These exercise concentrate on using the Euler and Corrector-Predictor techniques.

1. For an RC circuit,
        RI = V - Q/C
   solve for Q(t) assuming Q(0) = 0 and choosing practical values for R and C. Compare the Euler and Predictor-Corrector methods to each other and to the analytical formula.
   
   
2. Add an air resistance term to the equation of motion of a falling mass as follows
       dv/dt = g - b * v²
   Use the Predictor-Corrector method to determine the terminal velocity for different values of b (e.g. in the range 0-5) to show how more air resistant objects slow more quickly than sleek, low drag objects.