exponential and polynomial equation

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.

[mostafa Ahmed]

If I want this function in for loop with series values of V

[Walter Roberson]

.. 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.

Answer 1

[John D'Errico]

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.

Answer 2

[Walter Roberson]

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.