Symbolic Differential Equations

Devendra Kapadia

Wolfram Research

Abstract

Several enhancements have been made to Mathematica’s symbolic differential equation solver, DSolve, which allow us to handle wider classes of Abel ODEs and hypergeometric-type ODEs. The new algorithms combine the method of equivalence with standard coordinate transformation techniques to solve a variety of problems that occur in applications. Another new feature is that complete integral solutions for important classes of first-order nonlinear partial differential equations can now be found using DSolve. The talk will discuss these developments, and we will provide examples illustrating the new functionality.