The general solution of the differential equation $\frac{d y}{d x}=\frac{x+2 y-3}{2 x+y-3}$ is

• A

  $x=2(x-y)+\log (x-y+2)+c$
• B

  $\left(x+y+\frac{4}{3}\right)(x-y+2)^3=c^2$
• C

  $(2 x-y)^2=c(x+2 y-3)$
• Correct answer
  D

  $x+y-2=c^2(x-y)^3$

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