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Why Mathematica Can't Solve this Simple Equation

Posted 10 years ago
Dear All,

I have a rather simple equation and ask the software to solve it based on q. I need to have q based on other variables. I apply Solve[] but can not solve it and generates an Error!
Can any body help?

Thanks
 In[8]:= Solve[(
   e^(-r t) y^-\[Alpha] (p q r y^\[Alpha] -
      k q^\[Alpha] (r y \[Alpha] +
         q (-1 + \[Alpha]) (1 + y \[Alpha]))))/q == 0, q]
 During evaluation of In[8]:= Solve::nsmet:[u][i] This system cannot be solved with the methods available to Solve[/i][/u]. >>
 Out[8]= Solve[(
   e^(-r t) y^-\[Alpha] (p q r y^\[Alpha] -
      k q^\[Alpha] (r y \[Alpha] +
         q (-1 + \[Alpha]) (1 + y \[Alpha]))))/q == 0, q]
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POSTED BY: Faazel Farimani
2 Replies
Posted 10 years ago
Thank you very much for the equation as well as the E.
POSTED BY: Faazel Farimani
Taking a look at your expression from your notebook, it is of the general form:
a q^(? - 1) + b q^? == 1

This generally will not have a closed form solution for arbitrary ?. The error message (actually an informative warning message generateted by Solve) is simply reflecting this fact.

(By the way, I am guessing that your e in your expression is meant to be the number E in Mathematica. But that is irrelevant to your question as those factors are overall factors in your expression and don't affect the discussion.)
POSTED BY: David Reiss
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