Originally Posted by

**SteveBasnof** Ok well I'm doing a problem involving throwing a ball up in the air and figuring out it's position function with consideration of air resistance.

The short in sweet is that I'm trying to integrate the integral Vdt, where V is velocity and is dependent on t, time. My calculator says the integral ydx = x*y, but I believe the calculator thinks y is just a generic variable not dependant on x. Here's the details.

I've come to the following formula.

m(dV/dt) = pV - mg

where m=mass, V=velocity, t=time, g=gravity, p=some constant.

I need to get this equation into closed form solving for V, but I've come across a problem dealing with the equation.

If the equation was:

m(dV/dt) = pV it would be simple enough, just make it: m(dV)/V = p(dt)

and do simple implicit differentiation.

However since I have the added "- mg" in the equation I can't seperate out V and t to different sides of the equals.

So I did this:

m(dV/dt) = pV - mg