What solver to use for parabolic equation?

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Greetings, I have the following equation that I need to solve
1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x = 0
I tried using the following but it took forever and didn't return an answer:
syms x
solve(1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x)
if you plot the equation there is an answer around 30
ezplot(1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x,10,100)
but I cannot seem to find it using the solver.
Thanks in advance

Accepted Answer

Walter Roberson
Walter Roberson on 20 Nov 2013
I am pretty sure there is no closed form solution to that. You will probably need to use a numeric solver.
  2 Comments
Fafar
Fafar on 20 Nov 2013
thanks. can you elaborate on how to do that?
Walter Roberson
Walter Roberson on 20 Nov 2013
See fzero() or fsolve(). Or if you want to work symbolically, the MuPAD command numeric::solver (note: there is no MATLAB interface for that.)

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More Answers (1)

Deepak Ramaswamy
Deepak Ramaswamy on 22 Nov 2013
You can try vpasolve, Symbolic Math Toolbox's numeric solver. This returns - 30.078324091827534639885832779983 + 1.5357472679395261619060458042632*I. If you subs the solution back in to the equation, you get - 1.7632415262334312619531048058334e-38 + 5.8774717541114375398436826861112e-39*I which is close to zero

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