Question

can i ask something about variable separable???

Answer 1

sure! go ahead :)

Answer 2

dy/dx=4x+xy^2/y-x^2y, how should i solve this?? -_-

Answer 3

hello??

Answer 4

ok, can you factor out 'x' from numerator ?
and y from denominator ?

Answer 5

yep. den wats next??

Answer 6

then you will be able to separate out the variables!
tell me what u get after factoring and i'll show you how...

Answer 7

dy/dx=x(4+y^2)/y(1-x^2)

Answer 8

its that correct??

Answer 9

right :)
\(\large \dfrac{dy}{dx}=\dfrac{x}{1-x^2} \times \dfrac{4+y^2}{y}\)
did u get what i did ?

Answer 10

awts.. did u already solve the eqution??i cant see it.

Answer 11

nopes, i didn't i just separated out all x and y terms on right

Answer 12

is says [math processing error]

Answer 13

i cant see the solution

Answer 14

ok, i will write

dy/dx = (x/ (1-x^2) ) * (4+y^2)/ y
got this ?

Answer 15

can u explain how did u get that??

Answer 16

dy/dx=x(4+y^2)/y(1-x^2)

dy/dx = x/(1-x^2) * (4+y^2)/y

just separated out x and y terms,
there was x in numerator and 1-x^2 in denominator, so i brought them together, and wrote x/(1-x^2)
same way for y

Answer 17

oh i get it. :)

Answer 18

i'll get the final answer and tell if it is correct.

Answer 19

now bring all x terms on one side only and y terms
sure! i'll wait for it :)

Answer 20

how do i bring all x terms and y terms. im so confused about it because of there is two equation on the right side.

Answer 21

dy/dx = x/(1-x^2) * (4+y^2)/y

so i will multiply dx on both sides and bring y terms on left

y/(4+y^2) dy = x/(1-x^2) dx

got this ? and variables are separated now :)

Answer 22

oh. thank u. i"ll integrate it.

Answer 23

welcome :)
if you get stuck again, ask.

Answer 24

whats the answer of this problem??

Answer 25

what did u get ?