The general solution of the differential equation $\left(x^3-y^3\right) d x=\left(x^2 y-x y^2\right) d y$ is

• Correct answer
  A

  $y=x \log (\mathrm{c}|x+y|)$
• B

  $y=\log (\mathrm{c}|x+y|)$
• C

  $x y=\log (\mathrm{c}|x+y|)$
• D

  $x+y+\log |x+y|+\mathrm{c}=0$

Hence, the correct answer is option: 'A'.