# [Maxima] problem of solving

Barton Willis willisb at unk.edu
Mon Jun 4 07:10:28 CDT 2007

```Maxima uses %e for the Euler constant. Similarly, %pi is the circular
constant. To read the user documentation for %e, enter

(%i1) ? %e;

at an input prompt.

After solving, the unknown M is is on both sides of the equation
This means that Maxima was not able to solve your equation.
(I doubt that it has a solution that ccan be expressed using
standard functions.)

If you would like to keep Maxima from returning an non-explicit
solution, set solveexplicit to true:

(%i4) solveexplicit  : true;
(%o4) true
(%i5) (exp(P*(T-t)*M^a)-1)/(exp(F*(T-t)*(L-M)^b)-1)=(a/b)*((L-M)/M);
(%o5) (%e^(M^a*P*(T-t))-1)/(%e^(F*(L-M)^b*(T-t))-1)=(a*(L-M))/(b*M)
(%i6) solve(%,M);
(%o6) []

Now Maxima returns the empty set. This doesn't mean that the
equation doesn't have a solution, it only means that Maxima
wasn't able to find a solution.

Barton

-----maxima-bounces at math.utexas.edu wrote: -----

>To: maxima at math.utexas.edu
>From: "subhasis bera" <subhasisbera at gmail.com>
>Sent by: maxima-bounces at math.utexas.edu
>Date: 06/04/2007 12:00AM
>Subject: [Maxima] problem of solving
>
>
>Hi!
>Using Maxima i was trying to solve the following problem
>
>solve it for M
>(exp(P*(T-t)*M^a)-1)/(exp(F*(T-t)*(L-M)^b)-1)=(a/b)*((L-M)/M)
>
>and
>got the result like this
>[M=(a*L*(%e^(F*(L-M)^b*T-t*F*(L-M)^b)-1))/(b*%e^(M^a*P*T-t*M^a*P)+a*(%e^(F
>*(L-M)^b*T-t*F*(L-M)^b)-1)-b)]
>
>
>what does % mean here?
>am i committing any error while trying to solve it, if so. how can i solve
>this?
>with regards
>--
>Subhasis Bera
> New Delhi, INDIA
>
>
>
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>Maxima mailing list
>Maxima at math.utexas.edu
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```