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

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