Question

ydx-4(x+y^6)dy=0

Answer 1

try reciprocal:
dx/dy = (4x+y^6)/y
let me know what did you get...

Answer 2

I don't know which method to use to solve it.
And the 4 should be distributed to the y ^6 as well.

Answer 3

i used integrating factor - check your book.
you re-write your eq as:
dx/dy -4(x/y) = 4y^5
agreed?
the integrating factor is:
\[e ^{-4\int\limits_{ }^{}dy/y}=1/y ^{4}\]

can you finish it?

Answer 4

Thank you so much. I think I've got it from here.

Answer 5

let me know if there is a problem - I'll be on line for another 1/2 hour :)