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

MaxExtraConditions is an option to Solve and related functions that specifies how many extra equational conditions on continuous parameters to allow in solutions that are ...

In calculus even more than other areas, Mathematica packs centuries of mathematical development into a small number of exceptionally powerful functions. Continually enhanced ...

One of the important features of Mathematica is that it can do symbolic, as well as numerical calculations. This means that it can handle algebraic formulas as well as ...

Thread[f[args]] "threads" f over any lists that appear in args. Thread[f[args], h] threads f over any objects with head h that appear in args. Thread[f[args], h, n] threads f ...

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...

SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.

ControllabilityGramian[ss] gives the controllability Gramian of the StateSpaceModel object ss.

Introduction to Differential Equation Solving with DSolve Classification of Differential Equations Ordinary Differential Equations (ODEs)

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...