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Check the Results of DSolve   (Mathematica How To)
While DSolve usually returns the correct solution to a differential equation it is given, it is common practice to verify the solution returned by any differential equation ...
Continued Fractions & Rational ...   (Mathematica Guide)
Continued fractions can be thought of as an alternative to digit sequences for representing numbers, based on division rather than multiplication by a base. Studied ...
Eliminate   (Built-in Mathematica Symbol)
Eliminate[eqns, vars] eliminates variables between a set of simultaneous equations.
Solve a Differential Equation   (Mathematica How To)
Mathematica ' s differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...
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 ...
Cubics   (Built-in Mathematica Symbol)
Cubics is an option for functions that involve solving algebraic equations, that specifies whether explicit forms for solutions to cubic equations should be given.
Solve   (Built-in Mathematica Symbol)
Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...
Thread   (Built-in Mathematica Symbol)
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 ...
RecurrenceTable   (Built-in Mathematica Symbol)
RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...
SolveAlways   (Built-in Mathematica Symbol)
SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.
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