Can we solve this on MATLAB?

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Rashmin Rayani
Rashmin Rayani 2019-10-10
回答： Prabhan Purwar 2019-10-14
∇∙k(x,y)∇T+Q=0 on OMEGA
T=x on y=0
T=3+x^2 on y=3
T=y on x=0
∂T/∂x=1-T/5 on x=3
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Daniel M
Daniel M 2019-10-10
Yes. What have you tried?
Rashmin Rayani
Rashmin Rayani 2019-10-10
have done it theoretically but don't actually know how put that in code or how to start with this kind of problems

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回答（1 个）

Prabhan Purwar
Prabhan Purwar 2019-10-14
Following equation can be solved by making use of curl() and vpasolve() functions, as shown in the below example code:
syms x y z
V = [x^3*y^2*z, y^3*z^2*x, z^3*x^2*y];
X = [x y z];
curl(V,X)
S = vpasolve(curl(V,X)+X == 0, x,y,z);
double(S.x)
ans =
0.0000 + 0.0000i
-1.0000 + 0.0000i
1.0000 + 0.0000i
0.0000 - 1.0000i
0.0000 + 1.0000i
Please have a look at the following code representing the working of solve and assume functions to solve equations with conditions.
https://www.mathworks.com/matlabcentral/answers/480574-solve-equations-with-constraints
Please refer to the following link for further information
Hope this helps.

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