How can I solve a system of nonlinear differential equations with constants?

[icystrike]

$$\frac{d\mu }{dt}=-\left( kx\right) \left( \frac{\mu _{m}^{3}-\mu ^{2}\mu _{m}}{\mu ^{2}+\mu _{m}^{2}-2\mu \mu _{m}+\mu ^{2}K_{s}}\right)$$
$$\frac{dx}{dt}=\mu x$$
Any method for me to solve the pair of nonlinear equations or numerical graph of the differential equation.

*$$\mu_{m}$$ and $$K_{s}$$ are constants.

 

[JJacquelin]

I suggest first to eliminate t in order to obtain the relationship between x and mu.
So that the function x(mu) appears on the form of a solvable integral (in attachment)
Then bringing back x(mu) into the original ODE system would lead to a differential equation where the remaining unknown function is mu(t).