Differential Operators

The Wolfram Language's approach to differential operators provides both an elegant and a convenient representation of mathematical structures, and an immediate framework for strong algorithmic computation. With breakthrough methods developed at Wolfram Research, the Wolfram Language can perform direct symbolic manipulations on objects that represent solutions to differential equations.

ReferenceReference

Derivative representation of derivatives with respect to any function argument

y', y'', etc. short forms for Derivative

DSolve solve systems of differential equations

DifferentialRoot symbolic representation of solutions to linear differential equations

FunctionExpand expand differential roots in terms of special functions, etc.

DifferentialRootReduce canonicalize to differential root form