parametrized - Maple Help
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solve/parametrized

parametrize the solutions of a scalar functions of two variables

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

solve(eqn, varlist)

Parameters

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 .

Description

• 

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].

Examples

(1)

(2)

(3)

(4)

References

  

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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