I am trying to solve the differential equation (isolating v)
1/(q-R(v^2)) = dt
so i used partial fractions and after all of it ended with the result
SQRT{ ([-e^(2sqrt(q)(t+c))+g]/R }
i think i am wrong though
Captain Black's point is that your equation is missing a "dv".
If it was simply $\displaystyle \frac{dv}{q- Rv^2}= dt$, then write it as $\displaystyle \frac{1}{q}\frac{dv}{1- (R/q)v^2}= dt$ and use the substitution $\displaystyle \sqrt{R/q} v= sin(x)$ on the left side.