Question

Differential Equation SOS !y'X^2=y(x=y)

Answer 1

I've divided both sides by x

Answer 2

\[x^2*y'=y(x+y)\]

Answer 3

and now it's \[x*y'=(\frac{ y }{ x })(x+y)\]

Answer 4

\[\frac{ y }{ x }=u\]

Answer 5

and so \[y=u*x\]

Answer 6

\[y'=U'X+U\]

Answer 7

@rvc ?

Answer 8

@somy?

Answer 9

diff equation?

Answer 10

indeed

Answer 11

@fbi2015 will you be my savior?

Answer 12

nah?

Answer 13

@rvc can you be my rainbow?

Answer 14

lol I promised myself not to sleep before I solve this

Answer 15

oh
well i did not get ur question:(

Answer 16

I need to solve this DE problem \[X^2*y'=y(x+y)\]

Answer 17

and I tried to solve it (aforementioned)

Answer 18

any thoughts about it? Am I going the right way?

Answer 19

well
just give me a sec
let me try

Answer 20

I'll keep on trying as well

Answer 21

i think this is homogenuos differential equation :)

Answer 22

try \[y=vx\]

Answer 23

@Hipocampus u there?

Answer 24

yes!

Answer 25

I tried that, and it didn't get me any further...

Answer 26

well i got something
take y common from the RHS @Hipocampus

Answer 27

\[\frac{ du }{ u^2 }=\frac{ dx }{ x}\]

Answer 28

is that what you got?