for separable, is it something that u can put all x to one side, and all y to another side ,then integrat both side?

what about linear?

and sometime it could be both linear and separable (Crying)

they keep confusing me...

here i got a few examples, can someone explain?

(1+x^2)dy/dx = 1 -2xy

(1+x^2)dy/dx = y - 2xy

x/2 dy/dx = x^2 -y

dy/dx = [(2x)(sqrt y)]/sqrt(1+x^2)

thank you