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 non-linear 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 non-linear 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