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.

Overview of Linear Second-Order ODEs (Mathematica Tutorial)

Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...

Splicing Mathematica Output into ... (Mathematica Tutorial)

If you want to make use of Mathematica output in an external file such as a program or document, you will often find it useful to "splice" the output automatically into the ...

ArcLengthFactor (Vector Analysis Package Symbol)

ArcLengthFactor[{f_1, f_2, f_3}, t] gives the derivative of the arc length of the curve described by the parametrized curve coordinates {f_1, f_2, f_3} with respect to the ...

BesselI (Built-in Mathematica Symbol)

BesselI[n, z] gives the modified Bessel function of the first kind I_n (z).

BesselK (Built-in Mathematica Symbol)

BesselK[n, z] gives the modified Bessel function of the second kind K_n (z).

BesselY (Built-in Mathematica Symbol)

BesselY[n, z] gives the Bessel function of the second kind Y_n (z).

DGaussianWavelet (Built-in Mathematica Symbol)

DGaussianWavelet[] represents a derivative of Gaussian wavelet of derivative order 2.DGaussianWavelet[n] represents a derivative of Gaussian wavelet of derivative order n.

FourierCosCoefficient (Built-in Mathematica Symbol)

FourierCosCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier cosine series expansion of expr.FourierCosCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...

FourierSinCoefficient (Built-in Mathematica Symbol)

FourierSinCoefficient[expr, t, n] gives the n\[Null]^th coefficient in the Fourier sine series expansion of expr.FourierSinCoefficient[expr, {t_1, t_2, ...}, {n_1, n_2, ...}] ...