Solve a Differential Equation (Mathematica How To)

Mathematica ' s differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

NumericFunction (Built-in Mathematica Symbol)

NumericFunction is an attribute that can be assigned to a symbol f to indicate that f[arg_1, arg_2, ...] should be considered a numeric quantity whenever all the arg_i are ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

LaplaceTransform (Built-in Mathematica Symbol)

LaplaceTransform[expr, t, s] gives the Laplace transform of expr. LaplaceTransform[expr, {t_1, t_2, ...}, {s_1, s_2, ...}] gives the multidimensional Laplace transform of ...

NumericQ (Built-in Mathematica Symbol)

NumericQ[expr] gives True if expr is a numeric quantity, and False otherwise.

Integrals That Can and Cannot Be Done (Mathematica Tutorial)

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 ...

HypergeometricPFQ (Built-in Mathematica Symbol)

HypergeometricPFQ[{a_1, ..., a_p}, {b_1, ..., b_q}, z] is the generalized hypergeometric function \[Null]_p F_q (a; b; z).

TraditionalForm Reference Information (Mathematica Tutorial)

TraditionalForm differs from StandardForm, the default format for input and output. It is important to understand that TraditionalForm expressions cannot always be provided ...

Piecewise (Built-in Mathematica Symbol)

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

Sin (Built-in Mathematica Symbol)

Sin[z] gives the sine of z.