Advanced Quadratic drag - How to solve?

So I have gotten this far...

#a=((F_a-(c_d*rho_h*A*v^2)/2)-m_t*g_r)#

This is based upon #F_a-(F_d+F_g)/m =a#

But #a# is #(dv)/(dt)#

So this becomes a differential equation because the faster you go the harder it is to go faster.

How can one solve this?

Please note I'm currently a Calc AB student.