I am looking at a system of nonlinear simultaneous equations. The two variables are u>0 and b>0. How can I solve this problem with computer packages, such as Matlab, Python, or Fortran? Thanks.
$\frac{40000-1.1u^{0.91}40000^{0.091}}{200}-b=0$
$640\pi\int_{0}^{b}t\left(\frac{40000-200t}{1.1u}\right)^{10}dt-4000000=0$