How to solve non linear equation for one variable?

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Farhan Ashraf
Farhan Ashraf 2018-4-24
评论： Farhan Ashraf 2018-4-24
Hi, I am trying to solve a non-linear equation for one variable but it's not working. Can somebody help me in this regards? your help would be highly appreciated. Thanks
if
temp=[24 78 139 194 297 397];
yieldstress=[45 36 37 33 30 28];
syms DD positive
solve((6.046.*sqrt(DD))./(1e6)+(9.79.*(1-((-4.7872e-5.*temp).*(log(6.667e-4./(286.*sqrt(DD))))).^(2/3)).^(3/2)).*(3.06) == yieldstress);
end

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采纳的回答

njj1
njj1 2018-4-24
编辑：njj1 2018-4-24
If you want to solve for multiple values of temp and yieldstress, you will have to use a for loop.
for i=1:numel(temp)
for j=1:numel(yieldstress)
out{i,j} = solve((6.046.*sqrt(DD))./(1e6)+(9.79.*(1-((-4.7872e-5.*temp(i)).*(log(6.667e-4./(286.*sqrt(DD))))).^(2/3)).^(3/2)).*(3.06) == yieldstress(j));
end
end
The output variable "out" contains the values of DD that solve the equations as symbolic numbers (so long as the equation can be solved), and these can be evaluated using the command eval().
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njj1
njj1 2018-4-24

If you type in the code exactly as I have then it should work. It will take a while but it should work.

for i=1:numel(temp)
  for j=1:numel(yieldstress)
    out{i,j} = solve((6.046.*sqrt(DD))./(1e6)+(9.79.*(1-((-4.7872e-5.*temp(i)).*(log(6.667e-4./(286.*sqrt(DD))))).^(2/3)).^(3/2)).*(3.06) == yieldstress(j));
    dd(i,j) = eval(out{i,j}); %DO NOT put DD here
  end
end

FYI, I've run this code for the first few values of temp and yieldstress that you posted above, and Matlab is not able to find an explicit solution.

Farhan Ashraf
Farhan Ashraf 2018-4-24
what this error mean: A null assignment can have only one non-colon index? can you please guide?

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更多回答（1 个）

Torsten
Torsten 2018-4-24
The left-hand side of your equation (6.046.*sqrt(...)...) is a scalar, the right-hand side (yieldstress) is a vector. This is not compatible.
Best wishes
Torsten.
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Farhan Ashraf
Farhan Ashraf 2018-4-24
Actually I want to calculate DD for each value of yieldstress and temp. Can you please suggest me something?

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