
Accession Number : AD0495827
Title : Reverse Differential Equations and Others that can be Solved Exactly.
Descriptive Note : Technical rept.,
Corporate Author : UTAH UNIV SALT LAKE CITY
Personal Author(s) : McAllister, B. L. ; Thorne, C. J.
Report Date : 01 FEB 1952
Pagination or Media Count : 27
Abstract : A summary is given of the solution methods general enough to be useful for obtaining exact solutions of nonlinear ordinary differential equations. A method of generating solvable equations by reversal of derivatives is given in detail, with a formula for the reversal of the n(th) derivative. It is also noted that many important nonlinear problems can be reduced to Abel's differential equation. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, ALGORITHMS), NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, TRANSFORMATIONS(MATHEMATICS), NUMERICAL INTEGRATION, SERIES(MATHEMATICS), STABILITY, OSCILLATION.
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE