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

or

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 .

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.