## Tip 85.
Mathcad + Maple = Mathcadaple

As we have told several times in this book calculus mathematics of Mathcad
is not development of the firm MathSoft, Inc., but it is the purchasing of the
firm Waterloo Maple, Inc. Who is developer of Maple. Calculus mathematics of
Mathcad is (we have to use trite comparison) … top of an iceberg. But the
“iceberg” is calculus mathematics of Maple: only ~ 10% functions of Maple are accessible in
Mathcad. And it is obvious. If the firm Waterloo Maple, Inc. passed (sold)
MathSoft, Inc. All function, then it would be the end of Maple itself.

This and next (Tip 86)
tip are the original attempts to dive from Mathcad to Maple and to look at
“underwater part of the iceberg”.

*Undocumented* way of call the
function solve is showed in the fig. 85.
This function “fires” both sides: on the right through the operator “→”
and gives analytical solution of the algebraic equations f(x), but on the left
through the operator “:=” – numerical
solution. This method we have already used in tip 3, when we combine analytical
with numerical derivations of the
calculation’s results by the formulas. In the fig. 85
new is Maple’ s address to the function solve.

The operator solve is well-known for
users of Mathcad (see, for example, the figures in Tips 10, 44, 74 and other).
If we add to it the prefix l, then built-in
Mathcad-function lsolve is obtained, aimed for solution systems of
linear algebraic equations.

The work of “thoroughbred”
Maple-function fsolve is showed in the fig. 85.
It returns the solution of an algebraic equation in the form of
floating-point number (float – from
this it follows the prefix f), but not in the form of analytical solution.

*Main point of the tip*: it is worth
sometimes to call the Maple-functions directly. At that it is not worth to
forget that undocumented method is fraught with complication.