Hi,

I have a annoying differential equation that looks like:

$\displaystyle -p_i+\alpha _i+\frac{\gamma F_j\left[\gamma p_i-\gamma \alpha _i+\alpha _j\right]}{-1+\gamma ^2}+\left(-c_i+p_i\right) \left(-1+\frac{\gamma ^2 F_j'\left[\gamma p_i-\gamma \alpha _i+\alpha _j\right]}{-1+\gamma ^2}\right)=0$

where F is a cdf and F' is the pdf.

I would like to solve it for $\displaystyle {F_j\left[\gamma p_i-\gamma \alpha _i+\alpha _j\right]}$ when changing $\displaystyle p_i$.

However, I do not manage to find solutions to my problem as I have several variables ($\displaystyle {F_j\left[\gamma p_i-\gamma \alpha _i+\alpha _j\right]}$) instead of just one variable F(pi)in the cfd.

Does anyone have an idea on how to attack it?

Thanks