New Algorithms for Symbolic Differential Equations

The symbolic differential equation solver DSolve has been upgraded with a wide variety of additional methods. These cover linear hypergeometric, linear nonrational-coefficient, and Abel ordinary differential equations (ODEs), as well as both first-order nonlinear partial differential equations (PDEs) and piecewise differential equations.

A key feature of DSolve is its unique automatic switching capabilities, which enable it to select the most appropriate solving technique for the equations or inequalities supplied. As more methods have been added to DSolve, the breadth of its capabilities has outstripped all other symbolic differential equation solvers.