First order differential equations

[missmee]

good day everyone.
i need to know what test must i make first in dealing with differential equations.. please help me. it's hard for me to figure out whether an equation is homogeneous or exact... there are examples of exact differential equations that have same degrees for M(x,y) and N(x,y)..if that's the case, should i consider it as homogeneous before considering it as exact?

 

[HallsofIvy]

Typically, it is easier to solve an "exact" equation than it is to solve a "homogeneous" equation so if I had an equation that was both, I would first try solving it as I would an exact equation.

 

[missmee]

HallsofIvy, thank you for your reply,. it helped me. :) Thank you. :)