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CUET · MATHS · PYQ PAPER 2025

Match List-I with List-II
List-I (Differential Equation)List-II (Order and Degree)
(A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\)(I) order \(=1\) and degree \(=2\)
(B) \(\left(\frac{d y}{d x}\right)^2+x y=0\)(II) order \(=2\) and degree \(=1\)
(C) \(\left(1+\frac{d y}{d x}\right)^{3 / 2}=4\left(\frac{d^2 y}{d x^2}\right)^2\)(III) order \(=2\) and degree \(=2\)
(D) \(\sqrt{\frac{d^2 y}{d x^2}}+1=\frac{d y}{d x}\)(IV) order \(=2\) and degree \(=4\)
Choose the correct answer from the options given below :

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

(A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\) Order \(= 2\) Degree \(= 2\) (A) \(\rightarrow\) (III) (B) \(\left(\frac{d y}{d x}\right)^2+x y=0\) Order \(= 1\) Degree \(= 2\) (B) \(\rightarrow\) (I) (C)…