Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

TimeConstraint (Built-in Mathematica Symbol)

TimeConstraint is an option for various algorithmic functions which specifies how long to spend trying a particular transformation or part of an algorithm.

Exact Linear Second-Order Equations (Mathematica Tutorial)

A linear second-order ordinary differential equation is said to be exact if An exact linear second-order ODE is solved by reduction to a linear first-order ODE.

GompertzMakehamDistribution (Built-in Mathematica Symbol)

GompertzMakehamDistribution[\[Lambda], \[Xi]] represents a Gompertz distribution with scale parameter \[Lambda] and frailty parameter ...

StudentTDistribution (Built-in Mathematica Symbol)

StudentTDistribution[\[Nu]] represents a Student t distribution with \[Nu] degrees of freedom.StudentTDistribution[\[Mu], \[Sigma], \[Nu]] represents a Student t distribution ...

ExponentialDistribution (Built-in Mathematica Symbol)

ExponentialDistribution[\[Lambda]] represents an exponential distribution with scale inversely proportional to parameter \[Lambda].

BellB (Built-in Mathematica Symbol)

BellB[n] gives the Bell number B_n. BellB[n, x] gives the Bell polynomial B_n (x).

CarmichaelLambda (Built-in Mathematica Symbol)

CarmichaelLambda[n] gives the Carmichael function \[Lambda](n), defined as the smallest integer m such that k^m \[Congruent] 1 mod n for all k relatively prime to n.

CoshIntegral (Built-in Mathematica Symbol)

CoshIntegral[z] gives the hyperbolic cosine integral Chi(z).

TrigReduce (Built-in Mathematica Symbol)

TrigReduce[expr] rewrites products and powers of trigonometric functions in expr in terms of trigonometric functions with combined arguments.