Ordinary Differential Equations
In applications, we are often faced with the problem of determining a function f given information on some of its derivatives. A typical example would be to find the position of a particle as a function of time, given its velocity as a function of time and position. Such a formulation of a problem is called a differential equation. The general form is an equation which involves f and some of its derivatives. The study of such equations is a major area of mathematics and it is not always possible to obtain an exact solution. Here we consider only a few simple types where we can obtain a solution using the techniques on integration developed in Chapters 14 to 16. Our results give a flavour of the subject, ...
Get Fundamentals of University Mathematics, 3rd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
