Why Is the Differential Equation m*dv/dt = mg - kv^2 Challenging to Solve?

[Robert Mak]

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

constants: m, g, k.

I tryed and i can't find a solution to this diferential equation.

 

[rock.freak667]

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

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

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


Able now?

 

[Robert Mak]

thanks; lol i didnt saw it

 

[gamesguru]

The full solution can be found on the Wikipedia article for terminal velocity. http://en.wikipedia.org/wiki/Terminal_velocity