The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains the ...

CandlestickChart[{{date_1, {open_1, high_1, low_1, close_1}}, ...}] makes a chart with candles representing open, high, low, and close prices for each date. ...

Evaluating integrals is much more difficult than evaluating derivatives. For derivatives, there is a systematic procedure based on the chain rule that effectively allows any ...

You can use the standard differential equation solving function, NDSolve , to numerically solve delay differential equations with constant delays. It returns an interpolation ...

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

All the functionality in Calculus`VariationalMethods` is now available through the newly created Variational Methods Package.

EdgeDetect[image] finds edges in image and returns the result as a binary image.EdgeDetect[image, r] finds edges at the scale of the specified pixel range r.EdgeDetect[image, ...

The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...

The built-in functions D, Limit, Residue and Series perform computations using symbolic and analytic methods. The functions ND, NLimit, NResidue and NSeries, in this package, ...

Mathematica not only includes highly optimized implementations of standard image processing filters, but also uses its general symbolic architecture to allow arbitrarily ...