Question

solve by linear DE
\[(x-y)dx - (x+y)dy =0\]

Answer 1

i think i divide by \[\frac{1}{(x+y)dx}?\]

Answer 2

so i have \[\frac{x-y}{x+y} - \frac{dy}{dx}\]

Answer 3

\[\frac{x}{x+y} - \frac{y}{x+y} = \frac{dy}{dx}\]
how do i solve this by linear DE?

Answer 4

let y=ux
and u is a function of x

Answer 5

homogeneous?

Answer 6

yep thats right

Answer 7

cant it be solved by LDE?

Answer 8

i think after sub u will have a LDE

Answer 9

ahh i see..thanks for the hint ^_^