Question

I am having some issues with these homogeneous equations:
1) (x2)(dy/dx) = xy-y2 which I have been able to reduce to (dy/dx) = (xy-y^2)/(x^2)
2) (dy/dx) = (x^2-y^2)/(3xy)
With having to use v=y/x and y=xv and y'=v+x(dv/dx) I am going insane trying to understand this.
I am also having too many issues trying to solve these Bernoulli equations:
1) (dy/dx) + y/x = (x^2)(y^2)
and
2) (dy/dx) - y = (e^x)(y^3)
I do know that these equations use the formula (dy/dx)+p(x)y

Answer 1

you there?

Answer 2

I am now