1.The general solution of the differential equation xcos(y/x)(y dx+x dy)=ysin(y/x)(x dy−y dx)x\cos(y/x)(y\,dx + x\,dy) = y\sin(y/x)(x\,dy - y\,dx)xcos(y/x)(ydx+xdy)=ysin(y/x)(xdy−ydx) isa.log(xy)=logcos(x/y)+C\log(xy) = \log\cos(x/y) + Clog(xy)=logcos(x/y)+Cb.cos(y/x)=Cxy\cos(y/x) = \frac{C}{xy}cos(y/x)=xyCc.log(xy)=logsec(x/y)+C\log(xy) = \log\sec(x/y) + Clog(xy)=logsec(x/y)+Cd.x+y+C=0x + y + C = 0x+y+C=0Login to continueOnly logged in users canattempt or see the solution.