Physical Applications of the Bernoulli Diff Eq

[grep6]

I am curious what the nonlinear bernoulli equation is used to model. Is there a certain topic or context where it shows up often? Can any suggest some references for more info?

I am reviewing some ODE stuff for an upcoming exam and would really like an intuitive feel for the equation and its solutions. However, I have only been able to find information about how to solve the equation. Thanks

 

[meldraft]

I think that I've seen it show up in problems in dynamics.

 

[SteamKing]

The Bernoulli DE models the motion of a body in a medium where the resistance to motion is proportional to the velocity of the body. This resistance can also include a velocity term to a certain power as well.