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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) \(\frac{d^3 y}{d x^3}+y^2+e^{d y / d x}=0\)(I) order \(=3\), degree \(=1\)
(B) \(\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}+1=0\)(II) order \(=3\), degree not defined
(C) \(2 x^2 \frac{d^2 y}{d x^2}-3\left(\frac{d y}{d x}\right)^2+y=0\)(III) order \(=2\), degree \(=3\)
(D) \(\frac{d^3 y}{d x^3}+2\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}=0\)(IV) order \(=2\), degree \(=1\)
Choose the correct answer from the options given below :

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

(A) \(\frac{d^3 y}{d x^3}+y^2+e^{d y / d x}=0\): Order \(=3\), Degree not defined (due to \(e^{d y / d x}\)). Matches (II). (B) \(\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}+1=0\): Order \(=2\), Degree \(=3\). Matches (III). (C)…
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