Numerical Python: Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib

© Robert Johansson 2019

Robert JohanssonNumerical Python https://doi.org/10.1007/978-1-4842-4246-9_9

9. Ordinary Differential Equations

Robert Johansson¹ 

(1)

Urayasu-shi, Chiba, Japan

 

Equations wherein the unknown quantity is a function, rather than a variable, and that involve derivatives of the unknown function, are known as differential equations. An ordinary differential equation is a special case where the unknown function has only one independent variable with respect to which derivatives occur in the equation. If, on the other hand, derivatives of more than one variable occur in the equation, then it is known as a partial differential equation , and that is the topic of Chapter 11. Here we focus on ordinary differential equations (in the following ...