ok i have this problem:

dy/dx = (-y+10)/(x+1)

i see that it is separable and exact, but why isn't this problem homogeneous? isn't everything to the power of 1?

in the next problem i have the same issue.

dy/dx = 1/(x(x-y))

i got this problem wrong as well. i was trying to say that it is a homogeneous equation but my book says its a Bernoulli equation? why