Starting with...

(1)

... it is evident that the 'constant solutions' are the zeroes of , i.e. , and . Regarding the question b) is also evident that is increasing for and and is decreasing for and ...

A property of an ODE like (1) is that is function of the y alone and that means that, if is solution of (1), then is also solution of (1). A consequence of that is that for all the initial value different from 0, 7 and -3 the (1) has only one solution, but that isn't true if , or ...

Kind regards