ORDINARY DIFFERENTIAL EQUATIONS

Mathematical Modelling Labs

1. Solutions of first, second, and third order differential equations.
2. Plotting of the family of solutions of differential equations of first, second and third order.
3. Solution of differential equations using the method of variation of parameters.
4. Growth and decay model (exponential case only).
5. Lake pollution model (with constant/seasonal flow and pollution concentration).
6. Density-dependent growth model.
7. Predatory-prey model (basic Volterra model, with density dependence, effect of Dichloro-Diphenyl-Trichloroethane (DDT), two prey, one predator.)
8. Epidemic model of influenza (basic epidemic model, contagious for life, disease with carriers).