solve/parametrized
parametrize the solutions of a scalar functions of two variables
Calling Sequence
Parameters
Description
Examples
References
solve(eqn, varlist)
eqn
-
single equation in two variables
varlist
list of two names applied to a parameter (for example, ) or two equations of the form giving the parametrization point. The desired name of the parameter to use in the solution (for example, t) appears as an argument to the variable names. Note that corresponds to .
The solve(eqn,varlist) command substitutes into the given function and tries to solve the resulting equation (set equal to zero) for as a function of . If successful, this gives a parametrized solution of the original equation, in that .
Note: This command does not find solutions of the form . It can sometimes find parametrized solutions of nonpolynomial equations, and can find nonrational parametrizations of polynomial equations. To find rational parametrizations of polynomial systems, use the command algcurves[parametrization].
Corless, Robert M. Essential Maple 7. Chap. 3. Springer-Verlag.
Hardy, G. H. Pure Mathematics. Cambridge University Press, 1952.
See Also
algcurves[parametrization]
solve
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