Assertion : The degree of the differential equation $y^{\prime \prime}+2 x y^{\prime}+\log _e\left(\frac{d y}{d x}\right)=0$ is 2 . Reason : The degree of a differential equation is the highest degree of the highest order derivative occurring in the equation, after the equation is expressed in the form of a polynomial in differential coefficients. The correct option among the following is

• A

  (A) is true, (R) is true and (R) is the correct explanation for (A)
• B

  (A) is true, (R) is true but (R) is not the correct explanation for (A)
• C

  (A) is true but (R) is false
• Correct answer
  D

  (A) is false but (R) is true

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