The general solution of the differential equation $2 d x+d y=(6 x y+4 x-3 y) d x$ is

• A

  $2 \log |2 x-1|=3 y^2+4 y+\mathrm{c}$
• Correct answer
  B

  $\log |3 y+2|=3 x^2-3 x+\mathrm{c}$
• C

  $\log |3 y+2|=x^2-x+c$
• D

  $\log |2 x-1|=3 y^2-4 y+\mathrm{c}$

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