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DifferentialRoot   (Built-in Mathematica Symbol)
DifferentialRoot[lde] represents a function that solves the linear differential equation specified by lde[y, x].
Eliminating Variables   (Mathematica Tutorial)
When you write down a set of simultaneous equations in Mathematica, you are specifying a collection of constraints between variables. When you use Solve, you are finding ...
Solving Recurrence Equations   (Mathematica Tutorial)
If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...
Numerical Equation Solving   (Mathematica Tutorial)
Numerical root finding. NSolve gives you numerical approximations to all the roots of a polynomial equation. You can also use NSolve to solve sets of simultaneous equations ...
DiscreteLyapunovSolve   (Built-in Mathematica Symbol)
DiscreteLyapunovSolve[a, c] finds the numeric solution x of the discrete matrix equation a.x.a\[ConjugateTranspose] - x == c.DiscreteLyapunovSolve[a, b, c] solves a.x.b - x ...
Solving Logical Combinations of ...   (Mathematica Tutorial)
When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...
LyapunovSolve   (Built-in Mathematica Symbol)
LyapunovSolve[a, c] finds a solution x of the matrix Lyapunov equation a.x + x.a\[ConjugateTranspose] == c.LyapunovSolve[a, b, c] solves a.x + x.b == c.LyapunovSolve[{a, d}, ...
Introduction to Solving Nonlinear ...   (Mathematica Tutorial)
There are some close connections between finding a "local minimum" and solving a set of nonlinear equations. Given a set of n equations in n unknowns, seeking a solution r(x) ...
Numerical Mathematics in Mathematica   (Mathematica Tutorial)
One of the important features of Mathematica is its ability to give you exact, symbolic, results for computations. There are, however, computations where it is just ...
FindRoot   (Built-in Mathematica Symbol)
FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...
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