Question

dy/dx=(x+y)/xy

Answer 1

wt is ur question

Answer 2

i would have substituted x=vy
any method specifically asked for ?

Answer 3

\[\frac{dy}{dx} = \frac{x+y}{xy}\]
homegeneous equation
y = uv
\[\frac{dy}{dx} = \frac{x/x + y/x}{y/x} => \frac{dy}{dx} = \frac{1+y/x}{y/x}\]
\(y=ux\)
\[\frac{dy}{dx} = v+ \frac{dx}{dx}x\]

Answer 4

@Mimi_x3 is confused with 'u' and 'v' :P

Answer 5

\[\frac{dy}{dx} = \frac{1+u}{u}\]

Answer 6

yes, typo! sorry!

Answer 7

\(\huge u+x\frac{du}{dx}=\frac{1+u}{u}\)
this is variable separable and hence easily solvable.