Question

\[x(x^2 +y^2)^2(ydx - xdy) + y^6dy = 0\] anyone have any ideas?

Answer 1

You want me too solve it?

Answer 2

sure...if you can lol

Answer 3

\[x(x^2 + y^2)^2 (0) = -dy^7\]

Answer 4

divide it by y^6...it gets in to standard form

Answer 5

0??/ o.O

Answer 6

hint : (ydx - xdy)/y^2 = d(x/y)

Answer 7

idk if that made sense to me o.O

Answer 8

cmon divide the entire thing by y^6

Answer 9

(x/y)*(1+(x/y)^2))^2 * d(x/y) + dy = 0

Answer 10

put x/y = t

Answer 11

wait...how did ydx - xdy)/y^2 = d(x/y) first?

Answer 12

ok wat's d(x/y)

Answer 13

dx/y?

Answer 14

or do you mean derivative of 9x/y)?

Answer 15

derivative of (x/y)*

Answer 16

d(x/y) yep derivative of x/y

Answer 17

What's your question?

Answer 18

the one in the blue box @beeqay

Answer 19

@A.Avinash_Goutham with respect to what??

Answer 20

I mean you have an equation fine, but what is the question, find dy/dx find dx/dy... solve for y.. Solve for x? Possibilities are a countless, so what's your question?

Answer 21

uhh i thought all differential equations instruction is to find the solutioN?

Answer 22

well anyway that's what's needed...a solution

Answer 23

Ok, but still, you're question isn't specific enough, do you want dy/dx or dx/dy?
there's a difference

Answer 24

trivial question....

Answer 25

well it's a standard integrallll :P
um the solutiion is y a function of x :P

Answer 26

^whatever that meant haha

Answer 27

????

Answer 28

so back to the question pls?

Answer 29

well the qn is solve :P

Answer 30

how?/

Answer 31

t(1+t2)dt + dy = 0

Answer 32

integrate that

Answer 33

where did that come from?!!

Answer 34

(1+t2)2 * sorry

Answer 35

t = x/y

Answer 36

where did t come from =_=

Answer 37

t = x/y so ?

Answer 38

This thread is hilarious.

Answer 39

indeed

Answer 40

Do you still not understand?

Answer 41

yeah

Answer 42

Factor first.

Answer 43

how is dt = ydx - xdy

Answer 44

factor what?

Answer 45

dt is that upon y2

Answer 46

Lol.

Answer 47

This is thread of the year.

Answer 48

lol why?

Answer 49

Factor your squared equations to simplify some more before going through all the work.

Answer 50

Lol. You're totally not getting it.

Answer 51

factor?!

Answer 52

im dyslexic :p lol

Answer 53

Yes, Avin. You can factor in this particular one.

Answer 54

I do it all the time. It makes it easier.

Answer 55

i cannot see anything factorable o.O

Answer 56

What is it you're trying to solve?

Answer 57

um it's avi r alvin :|

Answer 58

okay...i do NOT get either of your solutions =_=

Answer 59

ok :P