Question

Solve x(dy/dx)=y+2xe^(-y/x) I'm stuck (FO nonlinear DE)

Answer 1

are you saying derive in respect to x?

Answer 2

or is this a multivariable problem?

Answer 3

\[x dy/dx = y+2xe^(-y/x)\]

Answer 4

its suppose to be a First Order Nonlinear problem... my teacher wants the equation that solve it

Answer 5

It can be solved by separating variables.

Answer 6

Its a separable equation?

Answer 7

I think so.

Answer 8

I tried separating but it didn't look pretty lol

Answer 9

e^(-y/x)=e^(-y).e^(1/x)

Answer 10

If that helps.

Answer 11

i thought e^(-y) * e^(1/x) = e^(-y+(1/x)) ?

Answer 12

:( Something is terribly wrong with me.

Answer 13

You're right :) I'll try another method.

Answer 14

thanks, i tried that already... something was wrong with me too lol

Answer 15

I'm so lost on this one...