TY - JOUR
AU - Cockle, James
AB - 180 Sir James Cockle on the Equation of Biccati. [Feb. 10, On the Equation of Riccati. By Sir JAMES COCKLE, M.A., F.R.S. [Head Feb. 10th, 1887.] 1. This paper will consist of seven sections :— I. On Deformations, Mixed Integrals, Characteristics, and Correlations. II. On Synthemes. III . On Terordinals. IV. On Characteristics of Terordinals. V. On Transformation to Riccatian Forms. VI. On a Particular Terordinal. VII. Conclusion. 1. On -Deformations, Mixed Integrals, Characteristics, and Correlations. 2. Meaning by/ , F, <p, and 4>, respectively, the four expressions and denoting by acute accents differential coefficients taken with respect to the independent variable x, suppose that then I call either of the functions / and F a deformation of the other, and O — c a mixed integral of the system / and F. 3. The presence of Y is essential to 0, and that of y to $; but in particular cases y may be absent from <£, and Y from <p. 4. Let each of the values n, v, w ... of y reduce / to zero, and let <Pu> <Pn <P,o••• be the corresponding values of 0. Then f , <f> , $,„... are u v integrating 
TI - On the Equation of Riccati
JF - Proceedings of the London Mathematical Society
DO - 10.1112/plms/s1-18.1.180
DA - 1886-11-01
UR - https://www.deepdyve.com/lp/wiley/on-the-equation-of-riccati-WSCveOqVeI
SP - 180
EP - 202
VL - s1-18
IS - 1
DP - DeepDyve
ER -