JSTOR Daily

On the Synthesis of a Class of Second Order Nonlinear Differential Equations

SIAM Journal on Applied Mathematics, Vol. 17, No. 3 (May, 1969), pp. 511-515 (5 pages) In this paper, a method of synthesizing the governing differential equations of nonlinear second order systems, ...
JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. II. Third-Order Equations

We introduce a method for finding general solutions of third-order nonlinear differential equations by extending the modified Prelle-Singer method. We describe a procedure to deduce all the integrals ...