Quantcast Cant resolve this diferential equation Text - Physics Forums Library

PDA

View Full Version : Cant resolve this diferential equation


Robert Mak
Jun24-08, 08:00 PM
m\frac{dv}{dt}= mg - kv^{2}

constants: m, g, k.

I tryed and i cant find a solution to this diferential equation.

rock.freak667
Jun24-08, 08:04 PM
m \frac{dv}{dt}=mg-kv^2

\Rightarrow \frac{m}{mg-kv^2} \frac{dv}{dt}=1

\Rightarrow \frac{m}{mg-kv^2} dv=1 dt


Able now?

Robert Mak
Jun24-08, 08:10 PM
thanks; lol i didnt saw it

gamesguru
Jun28-08, 12:11 AM
The full solution can be found on the Wikipedia article for terminal velocity. http://en.wikipedia.org/wiki/Terminal_velocity