Hey friends, I found this site searching for ode help and I think I might have found a home.. I do need help though and would appreciate any assistance you can give.

I have an object that weighs 10kg and the drag force is proportional to the square of the velocity and the limiting velocity is 49 m/s. The equation of motion given is $\displaystyle m(dv/dt) = mg - 2v$

or

$\displaystyle dv/dt = 9.8 - v/5 $ after putting in the drag force constant, gravity and weight. So my objective is to prove how the equation of motion can be written as $\displaystyle dv/dt = [49^2 - v^2] / 245 $.

If any of you happen to haveElementary Diff EQs and Boundry value problemsits number 11 in section 1.2

And this is the coolest site ever, I love math. T"hanks for your help.