Well, doesn't have to positive, does it?
So I've got to find the general solution to the following differential equation:
I've been hinted that it is a problem that can be put into a form of a Bernoulli equation, but I can't get it right.
Bernoulli Equations look like this:
This is what I've tried:
In it's current state, I can't get it right.
The whole idea of the Bernoulli equation is that you get to transform your original nonlinear DE into a linear one, which is much easier to solve (you can use integrating factors, for example). The new DE does not have the original dependent variable of . Instead, the new dependent variable is . is not a solution to the original DE. It is a solution to a related DE, from which you can easily get the solution to the original DE. So for the original DE in the form
you substitute and the new DE is
So what's your and what's your ?