ComedkDifferential EquationsCOMEDK 2025 Morning ShiftMCQ+1 / -02025The general solution of the differential equation $(x-y) d y=(x+y) d x$ isA $\tan ^{-1}\left(\frac{y}{x}\right)=c \sqrt{x^2+y^2}$B $\tan ^{-1}\left(\frac{y}{x}\right)=x^2+y^2+c$C $e^{\tan ^{-1}\left(\frac{y}{x}\right)}=\frac{c \sqrt{x^2+y^2}}{x}$D $e^{\tan ^{-1}\left(\frac{y}{x}\right)}=c \sqrt{x^2+y^2}$Check AnswerClear SelectionReveal AnswerShow Explanation