%0 Journal Article %T Nonlinear differential equations and algebraic systems %A Lloyd K. Williams %J International Journal of Mathematics and Mathematical Sciences %D 1978 %I Hindawi Publishing Corporation %R 10.1155/s0161171278000290 %X In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations. %K Riccati equations %K Abel equations %K Cauchy-Kowalewski theorem %K Cauchy-Kowalewski system %K universal Cauchy-Kowalewski system. %U http://dx.doi.org/10.1155/S0161171278000290