Linear Second-Order Equations with ... (Mathematica Tutorial)

DSolve can find solutions for most of the standard linear second-order ODEs that occur in applied mathematics. Here is the solution for Airy's equation. Here is a plot that ...

Nonlinear PDEs (Mathematica Tutorial)

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...

DatabaseLink Connections and Resources (DatabaseLink Guide)

DatabaseLink provides a number of functions for connection to an SQL database. It also supports a resource mechanism that allows the details of how the connection is set up ...

BetaPrimeDistribution (Built-in Mathematica Symbol)

BetaPrimeDistribution[p, q] represents a beta prime distribution with shape parameters p and q. BetaPrimeDistribution[p, q, \[Beta]] represents a generalized beta prime ...

BetaDistribution (Built-in Mathematica Symbol)

BetaDistribution[\[Alpha], \[Beta]] represents a continuous beta distribution with shape parameters \[Alpha] and \[Beta].

InverseGaussianDistribution (Built-in Mathematica Symbol)

InverseGaussianDistribution[\[Mu], \[Lambda]] represents an inverse Gaussian distribution with mean \[Mu] and scale parameter \[Lambda].InverseGaussianDistribution[\[Mu], ...

FRatioDistribution (Built-in Mathematica Symbol)

FRatioDistribution[n, m] represents an F-ratio distribution with n numerator and m denominator degrees of freedom.

MaxStableDistribution (Built-in Mathematica Symbol)

MaxStableDistribution[\[Mu], \[Sigma], \[Xi]] represents a generalized maximum extreme value distribution with location parameter \[Mu], scale parameter \[Sigma], and shape ...

Cos (Built-in Mathematica Symbol)

Cos[z] gives the cosine of z.

Csc (Built-in Mathematica Symbol)

Csc[z] gives the cosecant of z.