Question

Determine if the following is exact and solve it

Answer 1

where is the eqn?

Answer 2

\[( x dx / (x ^{2} + y^{2})^{3/2}) + ( y dy / (x ^{2} + y^{2})^{3/2}) = 0\]

Answer 3

okay working this out on paper..

Answer 4

watch out.. be sure if its exact or not

Answer 5

it's not exact.

Answer 6

wait a second sorry.. i was wrong..

Answer 7

It is exact, because
My = Nx = (-3xy)/(x^2+y^2)^(5/2)

Answer 8

so:
Fx = M = x/(x^2+y^2)^(3/2);
F(x;y) = Integral of x/(x^2+y^2)^(3/2) dx = [ -1/sqrt(x^2+y^2) ] + h(y)

Answer 9

how did u knw the My (or the Nx) ??? i cant rearrange it to the standard form

Answer 10

it is already in standard form...

Answer 11

Grrrrrrrr... how come

Answer 12

where is the Y prime ? \[Y \prime\]

Answer 13

it is in the form:
Mdx + Ndy=0
M = x/(x^2+y^2)^(3/2) (first section without the dx)
N = y/(x^2+y^2)^(3/2) (2nd part without the dy) see..

Answer 14

That is all you need to determine if it is exact or not..

Answer 15

So once you have the M and N, if Mx (derivative of M with respect to x) = Ny (derivative of N with respect to y), then your equation is exact.

Answer 16

Lifesaver :) Thanx a lot Bro

Answer 17

np... lol..

Answer 18

I'm actually a superstar on my other account lol.. i got tired of it.. this is bahrom7893

Answer 19

take a look @ my other question