exponential and polynomial equation

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need to to solve the equation
.5*Rut(U(i)-deltau(i))^2+S+1.5*Rut*deltau(i)^2 == .5*Rut(V(i)-U(i))^2+Yp;
where
deltau=Uf0*(exp(-((U(i)-Uf0)/(3*Uf0)).^2));
for U using ''solve'' function in for loop,, can anyone help plz.
  2 个评论
mostafa  Ahmed
mostafa Ahmed 2018-4-24
If I want this function in for loop with series values of V
Walter Roberson
Walter Roberson 2018-4-24
.. then do that ?
But doing that will not permit you to use solve() to find a closed form solution. solve() might possibly switch to finding a numeric solution; if so then you should just use vpasolve() instead.

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采纳的回答

John D'Errico
John D'Errico 2018-4-23
Don't use solve. If all the other variables are known, then just use fzero.
Is Rut a variable? Or a function? If you think that this does a multiplication:
Rut(U(i)-deltau(i))^2
you are wrong. MATLAB requires an * in there.

更多回答(1 个)

Walter Roberson
Walter Roberson 2018-4-23
solve() is intended for closed form solutions. You will not be able to find a closed form solution to that because of the exp() term.
If you have the values of all of the variables except for U then you can use vpasolve to get one solution. There are probably a few different solutions involving complex-valued numbers; I am not sure at the moment if there could be two real-valued solutions.

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