Just revising for my next year courses and going over last years stuff and need to brush up a bit on what should be a simple problem...

Q) Find the solutions of the following equations of population biology

,

Where k and M are positive constants.

This really should be easy but after exams I always get a memory block until the courses restart...

Where I've got up to...

,

so general solution is

or something like that... Then you do something like have a particular solution which is just kM... possibly..?