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CUET · MATHS · PYQ PAPER 2025

Match List-I with List-II
List-IList-II
(A) Degree of this differential equation \(\frac{d^4 y}{d x^4}+2 \log _e\left(\frac{d^3 y}{d x^3}\right)=0\)(I) 1
(B) Order of this differential equation \(e^{\left(\frac{dy}{dx}\right)^3}+3 y\left(\frac{d^2 y}{d x^2}\right)^3=0\)(II) 4
(C) Degree of \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^2=0\)(III) not defined
(D) Order of the differential equation \(2 \frac{d^4 y}{d x^4}+\left(\frac{d^2 y}{d x^2}\right)^5=0\)(IV) 2
Choose the Correct answer from the options given below :

  1. A (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
  2. B (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
  3. C (A) - (III), (B) - (IV), (C) - (II), (D) - (I)
  4. D (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
Verified Solution

Answer & Solution

Correct Answer

(B) (A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Step-by-step Solution

Detailed explanation

(A) The term \( \log _e\left(\frac{d^3 y}{d x^3}\right) \) makes the differential equation not a polynomial in its derivatives. Degree is not defined. (A) - (III) (B) Highest order derivative is \( \frac{d^2 y}{d x^2} \). Order is 2. (B) - (IV) (C) Highest order derivative is…