21. The existence of parallel transport follows from standard existence theorems for ordinary differential equations . 22. The five species model is based upon 5 ordinary differential equations and 17 algebraic equations. 23. It numerically solves ordinary differential equations and difference equations, originally developed to execute STELLA programs. 24. The Lighthill-Freeman model is based upon a single ordinary differential equation and one algebraic equation. 25. For example, it arises as the point symmetry group of a certain ordinary differential equation . 26. This yields an ordinary differential equation of the form: 27. To perform these tasks Lebedev developed an analog computer system to solve ordinary differential equations . 28. This reduces the model equations to a set of three coupled, nonlinear ordinary differential equations . 29. This is an ordinary differential equation of the form 30. Rosenzweig used ordinary differential equation models to simulate the prey population that represented only prey populations.
