Dear Babangida,
It's an implicit equation in t , so you can use the Mathematica or Maple programs to solve it.
Sincerely, Aly
Well for next equation:
Y={{\rm e}^{kt \left( 1-{B}^{-t} \right) \left( 1-{2}^{-t} \right) }}
I found next implicit 'solution' using Maple:
{\it RootOf} \left( {B}^{-{\it \_Z}}{2}^{-{\it \_Z}}k{\it \_Z}-{B}^{-{
\it \_Z}}k{\it \_Z}-{2}^{-{\it \_Z}}k{\it \_Z}+k{\it \_Z}-\ln \left(
Y \right) \right)
where RootOf means all complex roots of an equation.
If you give me k,B,Y I'll provide you solution.
Dear Babangida,
This is an implicit equation in t, which can't be explicitly expressed as an expression in other parameters, so it can be represented in the following form (see attached image) that can be numerically solved by iterative methods like (Fixed Point Iteration) see chapter two in the following text book that has algorithms to solve such problems.
http://ins.sjtu.edu.cn/people/mtang/textbook.pdf
Best Luck.
Thank you very much for reminding me an implicit types of equation. I now understand how to handle the equations.
Regards
BIB.
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