Solving ODE with Constant Coefficients: A Scientific Approach

[Mugged]

How do i solve this ODE, anyone have any ideas?

$$\frac{dv}{dt} = g - \frac{b}{m}*v^2$$

 

[rock.freak667]

If g,b and m are constants, then a separation of variables method will work.

 

[Mugged]

yep they are constants. I made an attempt on this problem and got a function that includes the tan function. so i think I am ok

 

[rock.freak667]

yep they are constants. I made an attempt on this problem and got a function that includes the tan function. so i think I am ok

You could have split the function into partial fractions if you wanted to.