What solver to use for parabolic equation?

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Fafar
Fafar 2013-11-20
回答： Deepak Ramaswamy 2013-11-22
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

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采纳的回答

Walter Roberson
Walter Roberson 2013-11-20
I am pretty sure there is no closed form solution to that. You will probably need to use a numeric solver.
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Fafar
Fafar 2013-11-20
thanks. can you elaborate on how to do that?
Walter Roberson
Walter Roberson 2013-11-20
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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更多回答（1 个）

Deepak Ramaswamy
Deepak Ramaswamy 2013-11-22
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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