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I have a equation like this: 2^n * exp((-p*k*n*(k*n-(k+1)*2^t)))/((k+1)^2*2^(2*t+1))- 1=0. I tried using the follwing code, but it gives me a warning that "Explicit solution could not be found".

syms n k t p positive;
S=solve(2^n * exp((-p*k*n*(k*n-(k+1)*2^t)))/((k+1)^2*2^(2*t+1))- 1,n,'IgnoreAnalyticConstraints', true);
S

Is there a way to solve the equation in terms on n? Thanks in advance

tap1cse
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  • Works fine in R2013b. Older versions aren't always as adept. Which version do you have? Try not making the variables positive and/or disabling the `'IgnoreAnalyticConstraits'` option. – horchler May 28 '14 at 04:26
  • thanks for the response. I was using R2011b. I will try with R2013b. – tap1cse May 28 '14 at 06:32

1 Answers1

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Short answer: NO

MATLAB tries to find an "Explicit" solution, one in which variable n is expressed in terms of the other variables. In your case, the solution is "Implicit", meaning that variable n cannot be isolated and thus appears on both sides of the equation.

I used a different tool and here is what I got.

[e^((-k^2-k)np2^t+k^2n^2p)=2^(-2t+n-1)/(k^2+2*k+1)]

As you can see, n appears on both sides.

You might want to take a look at this post

Glorfindel
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Ruslan Masinjila
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