Non linear system with parameters

Hi guys, I really need your help to find the solution of a system of equations. I have some experience with matlab and python but I've never used it to solve equations so if someone could give me the solution, code to solve it or some print to do it I would be really thankful.

The system is the following:

MP67*0.67-MPY+89.4969*(1-e^(-0.00186*(MP-MP67)))+203.8*(1-e^(-0.0145*(NEL-NEL1)))==0

NEL1-MEO+6.1151*(1-e^(-0.00209*(MP-MP67)))+6.0013*(1-e^(-0.0239*(NEL-NEL1)))==0

I need the solution for MP67 and NEL1 in function of the other 4 parameters (MPY, NEL, MEO and MP)

I have not too much time as it is the end of a phd and that's why I try to find a shortcut to do it.

Thank you so much, Diana

Answer 1

[Torsten]

mpy=...;
nel=...;
meo=...;
mp=...;
func=@(x)[0.67*x(1)-mpy+89.4969*(1-exp(-0.00186*(mp-x(1))))+203.8*(1-exp(-0.0145*(nel-x(2)))),x(2)-meo+6.1151*(1-exp(-0.00209*(mp-x(1))))+6.0013*(1-exp(-0.0239*(nel-x(2))))];
x0=[1, 1];
sol=fsolve(func,x0);
mp67=sol(1);
nel1=sol(2);

Best wishes

Torsten.