This might be a very simple question, but I don't know what the best way is to plot a probability density function implied by a system of stochastic differential equations. Particularly, the equations would be the following: $$ dF_t = \alpha_t\,F_t^{\beta}\,dB_t \\ d\alpha_t = \nu\,\alpha_t\,dW_t \\ dB_tdW_t = \rho\,dt $$
Where $W$ and $B$ are different Brownian motions.
The question is, how can I plot the pdf of the process $F$ for some given $\beta$, $\nu$ and $\rho$ constants?