A treatise on ordinary and partial differential equations.
Publisher: Scholarly Publishing Office, University of Michigan Library
Published: December 20, 2005
Language: eng
Format: Paperback
Number of pages: 407
ISBN-13: 9781418183707
Subjects: Mathematics / General
First sentence: 1. IN the Integral Calculus, we suppose the differential of a variable y to be given in terms of another variable x and its differential dx, and we seek to express y as a function of x; in other words, since we know that the form of the given equation must be dy = f(x)dx,. . . . . . . . (1) which may be written dy/dx = f(x), . . . . . . . . (2) the derivative of y is given in terms of x, and an equation of the form y = F(x) . . . . . . . . (3) is said to satisfy the given equation (1) or (2) when F(x) is a function whose derivative is the given function f(x).