The solution of the differential equation y+sinx.cos2xycos2xydx+xcos2xy+sinydy=0 is

Given equation can be rearranged as ydx+xdycos2⁡(xy)+sin⁡xdx+sin⁡ydy=0 ⇒d(xy)cos2⁡(xy)+sin⁡xdx+sin⁡ydy=0∫  sec2xydxy+∫sin x dx +∫sin y dy =0 ⇒tan⁡xy−cos⁡x−cos⁡y=c