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CUET · MATHS · PYQ PAPER 2025

Match List-I with List-II
List - I (Differential Equations)List - II (Degree/Order)
(A) Degree of the differential equation \(\frac{d^3 y}{d x^3}+2 \log x \cdot y=0\)(I) 3
(B) Order of the differential equation \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^4+x y=0\)(II) 2
(C) Degree of the differential equation \(\left(\frac{d^4 y}{d x^4}\right)^2+\left(\frac{d y}{d x}\right)^3+x^2 y=0\)(III) 1
(D) Order of the differential equation \(\frac{d^3 y}{d x^3}+y\left(\frac{d y}{d x}\right)^3=0\)(IV) 4
Choose the correct answer from the options given below:

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

(A) Highest order derivative: \\(\\frac{d^3 y}{d x^3}\\). Power of highest order derivative: 1. Degree = 1. Matches (III). (B) Highest order derivative: \\(\\frac{d^4 y}{d x^4}\\). Order = 4. Matches (IV). (C) Highest order derivative: \\(\\frac{d^4 y}{d x^4}\\). Power of…