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Solve equations with constraints

155 ビュー (過去 30 日間)
Can you help me solve equation f with the different constraints established?
I can't get the optimal solution:
syms A k q c k;
beta= sym('beta');
q=(A+beta*k)/3;
c=(A+beta*k)/3;
k=(2*A*beta)/(9-2*beta^2);
f= A*q+beta*q*k-q^2-c*q- k^2/2;
solve(f)
if f>=0
if c>=0
if q>=0
if beta >0
if beta-1<=0
if A>0
end
end
end
end
end
end ;
King regards

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採用された回答

Prabhan Purwar
Prabhan Purwar 2019 年 9 月 19 日
Hi,
Following code represents the working of solve and assume functions to solve equations with conditions.
syms A k q c beta;
q=(A+beta*k)/3;
c=(A+beta*k)/3;
k=(2*A*beta)/(9-2*beta^2);
f= A*q+beta*q*k-q^2-c*q- k^2/2;
%Conditions
%assume(S >= 0);
assume(c >= 0);
assume(q >= 0);
assume(beta > 0);
assume(beta <= 1);
assume(A > 0);
%Solve for beta
S=solve(f,beta,'ReturnConditions',true);
%disply solution
S
%beta represents required value in terms of parameters
%parameters are internal variable created to represent multiple solutions
%conditions represents the assumed conditions imposed upon equation
Please refer the following link for further information

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Zongo Amara Mohamed Isaac
Zongo Amara Mohamed Isaac 2019 年 9 月 23 日
Thank you so much. It works well

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