Looks good to me.
(Because I absolutely HAVE to find something to pick on, "N" should be "NONE of the above" rather than "neither of the above"!)
Can someone agree with what I've got, and if not mention briefly were I went wrong?
Classify each of these equations type(s) (linear = L), (separable = S), (Homogeneous = H), (Neither of those = N)
a) 2yy' = 3x
- I got S,H
b) 2xy'+3y=0
- I got S,H,L
c) (3y-x)y' = 3x+y
- I got H
d) y' - 2y -x =1
- I got L
e) (y-x)y' = 2xsin(y)
- I got N