I have some more questions.

dy/dx = 1 + x - y - xy, solve the differential equation.

I've been thinking how I can separate the variables before doing the integration, but I could not figure out how because of the xy. Please give me some hint to start! TQ =)

Also, if you are kind enough, please help with this question

(cosx)^2* dy/dx = y

i'm stucked at integral of du / 1+ cos u = integral of dy / y. with 2x substituted as u.

I do not know how to proceed from there.