A Treatise on Differential Equations, and on the Calculus of Finite Differences (Classic Reprint)

In that part of the Integral Calculiis which relates to the integration of explicit functions of one variable, we have to determine the relation between yand xfrom the equation in the present portion, we have to determine it from the equation or to assign the relation between x, y, z(where a is a function of the independent variables xand y), or between a greater number of variables and their functions, from the equation fdz dz [ix )= or from other equations in which a greater number of variables and differential coefficients of higher orders are involved. 2. A differential equation is said to be of thew order, when the differential coefficient of the highest order which it involves is the .A differential equation of any order is said, moreover, to be of the first, second, c., degree, when the differential coefficient H. I.E.
(Typographical errors above are due to OCR software and don't occur in the book.)

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