ABSTRACT
One of the fundamental concepts of analysis is that of a system of n simultaneous first order differential equations. If y 1(x), y 2(x),…, y n (x) are unknown functions of a single independent variable x, then the most general system of interest to us is one in which their derivatives y′ 1, y′2, …,y′ n are explicitly given as functions of x and y 1, y 2,…, yn : () y ′ 1 = f 1 ( x , y 1 , y 2 , … , y n ) y ′ 2 = f 2 ( x , y 1 , y 2 , … , y n ) ⋯ y ′ n = f n ( x , y 1 , y 2 , … , y n ) . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315371825/895247ed-bf4c-467d-b370-ced59759b8c3/content/eq2191.tif"/>
