September 2014
Intermediate to advanced
512 pages
12h 39m
English
Content preview from IPython Interactive Computing and Visualization Cookbook
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Simulating an ordinary differential equation with SciPy
Ordinary Differential Equations (ODEs) describe the evolution of a system subject to internal and external dynamics. Specifically, an ODE links a quantity depending on a single independent variable (time, for example) to its derivatives. In addition, the system can be under the influence of external factors. A first-order ODE can typically be written as:
More generally, an n-th order ODE involves successive derivatives of y until the order n. The ODE is said to be linear or nonlinear depending on whether f is linear in y or not.
ODEs naturally appear when the rate of change of a quantity depends ...
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