To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...
DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...
Casoratian[{y_1, y_2, ...}, n] gives the Casoratian determinant for the sequences y_1, y_2, ... depending on n.Casoratian[eqn, y, n] gives the Casoratian determinant for the ...
ApartSquareFree[expr] rewrites a rational expression as a sum of terms whose denominators are powers of square-free polynomials. ApartSquareFree[expr, var] treats all ...
ContourStyle is an option for contour plots that specifies the style in which contour lines or surfaces should be drawn.
ExpandDenominator[expr] expands out products and powers that appear as denominators in expr.
An integration strategy is an algorithm that attempts to compute integral estimates that satisfy user-specified precision or accuracy goals. An integration strategy normally ...
The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...
InverseEllipticNomeQ[q] gives the parameter m corresponding to the nome q in an elliptic function.
The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...