Question

@hartnn

Answer 1

\(\large [\frac{ y^2 }{ (y-x)^2 }-\frac{ 1 }{ x }] dx+(\frac{ 1 }{ y }-\frac{ x^2 }{(x-y)^2 })dy\)=0

Answer 2

is it exact?

Answer 3

nahi samjh raha

Answer 4

\(M_y = 2y(y-x)^{-2} - y^2(-2(y-x)^{-1})\)

similarly, whats \(N_x\)

Answer 5

hmmm\[\frac{ (x-y)^2 (2x)-(x^2)(2(x-y))}{ (x-y)^4}\]

Answer 6

and the negative sign too, right?

so this isn't exact DE.
know how to make it exact?

Answer 7

integrating factorrr

Answer 8

@inkyvoyd

Answer 9

uhhh

Answer 10

sec I have a thing for this

Answer 11

http://prntscr.com/a31dpy

Answer 12

i know IF but how do i get that

Answer 13

try \(\mu(x)\) then try \(\mu(y)\)

Answer 14

hmm...
im struggling

Answer 15

want me to walk you through it?

Answer 16

yessssssssssssssssssssssssssssssssssssssssssssss

Answer 17

so let us first assume the integrating factor is a function of x.

Answer 18

ok

Answer 19

what will it be then?

Answer 20

Find \(\frac{M_y-N_x}{N}\)

Answer 21

Is it a function of x only?

Answer 22

wait let me do

Answer 23

hmmm

Answer 24

what did u get?

Answer 25

I didn't try it lol

Answer 26

I am putting my faith that you will do it dear

Answer 27

\[\frac{ -2xy }{(y-x)^3}+\frac{ 2yx }{ (x-y)^3 }\]

Answer 28

and that is not a function of x only right?

Answer 29

so let us try the other one, u(y)
find \(\frac{N_x-M_y}{M}\)
Is it a function of y only?

Answer 30

inky
i'll solve it later dear
atm m hungry lol

Answer 31

m back!!!!!!