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ToRules   (Built-in Mathematica Symbol)
ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.
Recurrence and Sum Functions   (Mathematica Guide)
Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...
NSolve   (Built-in Mathematica Symbol)
NSolve[expr, vars] attempts to find numerical approximations to the solutions of the system expr of equations or inequalities for the variables vars. NSolve[expr, vars, ...
Special Functions   (Mathematica Tutorial)
Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...
References   (Mathematica Tutorial)
[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...
InverseFunctions   (Built-in Mathematica Symbol)
InverseFunctions is an option for Solve and related functions that specifies whether inverse functions should be used.
Generic and Non-Generic Solutions   (Mathematica Tutorial)
If you have an equation like 2x==0, it is perfectly clear that the only possible solution is x->0. However, if you have an equation like ax==0, things are not so clear. If a ...
Eliminate   (Built-in Mathematica Symbol)
Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.
EquationTrekker Package   (Equation Trekker Package Tutorial)
This package provides an interactive tool for investigating the solutions of differential equations as well as other types of equations that have solutions that can be viewed ...
MaxExtraConditions   (Built-in Mathematica Symbol)
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 ...
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