Solve nonlinear equations

Job ID: 35456483

Budget: $30 – $250 USD

I'm looking for high-performance C++/Python libraries to solve nonlinear equations. The project will be granted to those who can share some knowledges of open source libraries but also sample codes/solutions for the following math problem in C++ or Python.

A,B,C,D are constants
solve x1,x2,x3,x4,y1,y2,y3

x1/(C-y1) = A …(1)
(x1+x2+x3)/(C-y2)=B …(2)
(C-y2-y3)/(x1+x2) = y3/(x3+x4) …(3)
(y2-y1)/(x2+x3+x4) = x3/y3 …(4)
(x3+x4)^2+y3^2 = x2^2+(y2-y1+y3)^2 …(5)
x1+x2 = D …(6)
SQUARE((x1+x2+x3+x4)^2+(C-y2)^2)-SQUARE((C-y2-y3)^2+(x1+x2)^2) = SQUARE((x3+x4)^2+y3^2) …(7)