The complete collection of Greek letters in Mathematica. You can use Greek letters as the names of symbols. The only Greek letter with a built-in meaning in StandardForm is ...

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

A "How to" describes how to carry out particular tasks with Mathematica, giving step-by-step instructions for common cases.

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

The hypergeometric functions play a unifying role in mathematical analysis since many important functions, such as the Bessel functions and Legendre functions, are special ...

In some cases it is useful to split the differential system into subsystems and solve each subsystem using appropriate integration methods. Recombining the individual ...

DiracComb[x] represents the Dirac comb function giving a delta function at every integer point. DiracComb[x_1, x_2, ...] represents the multidimensional Dirac comb function.

WorkingPrecision is an option for various numerical operations that specifies how many digits of precision should be maintained in internal computations.

The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F=∫_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], ...

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...