Solve dx+(xy−siny)dy=0.

abondantQ

abondantQ

Answered question

2021-02-11

Solve dx+(xysiny)dy=0.

Answer & Explanation

estenutC

estenutC

Skilled2021-02-12Added 81 answers

Given that dx+(xysiny)dy=0
ydx+(xysiny)dy=0
ydx+xdyysinydy=0
d(xy)ysinydy=0
Taking inregral we have xyysinydy=c
xy=[ycosy+cosydy]=c
xy[ycosy+siny]=c
xy+ycosysiny=c
where c is a arbitrary constant.

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