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