This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

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 ...

HighlightGraph[g, {a_1, a_2, ...}] highlights the a_i that can be vertices, edges, or subgraphs of g.HighlightGraph[g, {..., w_j[a_j], ...}] highlights using the symbolic ...

RiemannSiegelZ[t] gives the Riemann\[Dash]Siegel function Z(t).

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

Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

RegionPlot[pred, {x, x_min, x_max}, {y, y_min, y_max}] makes a plot showing the region in which pred is True.

 

Mathematica allows any front end command to be executed programmatically from within the kernel by sending an appropriate front end token. There are tokens for all standard ...

EllipticLog[{x, y}, {a, b}] gives the generalized logarithm associated with the elliptic curve y^2 = x^3 + a x^2 + b x.