Question

Hi someone could help me with the following differential equation excata, thank
(cosy+ycosx)dx+(senx-xseny)dy=0

Answer 1

sen?

Answer 2

sin

Answer 3

(cosy+ycosx)dx+(sinx-xsiny)dy=0

Answer 4

excuse me

Answer 5

well, exacts have a nice property .... inegrate the left wrt.x what do we get?

Answer 6

u can apply ecaxt differntial eqation

Answer 7

\[\int \cos y+y~\cos x~dx\]

Answer 8

yes

Answer 9

let M=(cosy+ycosx) and N=senx-xseny...now take partialy derivat of M w.r.to y and take partialy dervtof N w r to x

Answer 10

"yes" is not the integration

Answer 11

Ok

Answer 12

this gives you My=-siny+cosx and Nx=cosx-siny that both the derivativs are equal.now use integrl of M with r to x+int of N (only y terms)=0 gives you result

Answer 13

ok thank you very much, thank you for your help