Finding general solution for object falling in air

[andrey21]

1. Using separation of variables show that:
v' = (cd/M)(v^2) - g has a general solution of:

v = 20SQRT10 x ((1+Ae^(t/SQRT10)/(1-Ae^(t/SQRT10))

Homework Equations

The Attempt at a Solution

Have attempted numerous times with little success help appreciated!

 

[rock.freak667]

Divide both sides by


$$\frac{cd}{M}v^2 - g$$

 

[andrey21]

Just come to the correct answer and now is asking to find the terminal velocity. How would I go about doing that?

 

[rock.freak667]

Just come to the correct answer and now is asking to find the terminal velocity. How would I go about doing that?

That would be where the rate of change or velocity is zero.