Question

Differential Equation SOS

Answer 1

\[y(y-xy')=\sqrt{(x^4+y^4)}\]

Answer 2

Any idea fellas?

Answer 3

hmmmmm

Answer 4

should I write y=UX?

Answer 5

Immediate idea is the way it's written suspiciously implies (y-xy')=(xy)' should be plugged in.

Answer 6

shouldn't you square both sides to get rid of the square root?

Answer 7

I did but it didn't lead me anywhere

Answer 8

should I give it another shot?

Answer 9

hmm maybe, you have us to help you :D

Answer 10

I most likely will be uuuuuuuseless xD

Answer 11

so yeah, huddah!

Answer 12

lol don't say that!

Answer 13

its true xD

Answer 14

we;ll figure this out

Answer 15

yeah?

Answer 16

Hopefully xD

Answer 17

it was made (ostensibly) for human beings

Answer 18

try to work it as homogeneous type

Answer 19

xD

Answer 20

I don't even know what that means xD

Answer 21

that's alright, not many people use this word anyhow

Answer 22

homogeneous?

Answer 23

ostensibly

Answer 24

I did

Answer 25

oh, I was talking about the other one xD

Answer 26

oh ups

Answer 27

wel anyways, do you haz any clue on how to solve that question your doing?

Answer 28

does it have to do with logs, or anything like that?

Answer 29

\[-2(\frac{ y }{ 3 })^3*y'+y^2*(\frac{ y }{ x })^2=1\]

Answer 30

that's what I got, after diving x^3

Answer 31

xD

Answer 32

x^4 I mean

Answer 33

dividing

Answer 34

ah kk :3

Answer 35

thats y^1 right?

Answer 36

or is it y^i?

Answer 37

or l

Answer 38

tag

Answer 39

any idea from here?

Answer 40

mhmm...

Answer 41

I personally think the other guys will help you... hopefully :P

Answer 42

@rational what can I do from here?

Answer 43

My brains stopped functioning so yeah, imma sleep now xD Good luck on this question buddy :3

Answer 44

BYE

Answer 45

thanks!

Answer 46

@rational ?

Answer 47

how did u get that ? can you show the steps because im getting something different..

Answer 48

\[-2y^3xy'+x^2*y^4=x^4 \]

Answer 49

so far we get the same?

Answer 50

Y^4 from both sides cancel each other

Answer 51

what happened to the radical on right hand side ?

Answer 52

?

Answer 53

you mean the y^4?

Answer 54

\[y(y-xy')=\sqrt{(x^4+y^4)}\]

Answer 55

we canceled the square root

Answer 56

\[\left( ? \right)/^2\]

Answer 57

how on earth is that possible ?

Answer 58

from both sides? I don't think we're talking on the same thing