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CUET · MATHS · PYQ PAPER 2025

match List - I with List - II
List - I (Differential Equation)List - II (Degree)
(A) \(x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0\)(I) 3
(B) \(\frac{d^2 y}{d x^2}+\log \left(\frac{d y}{d x}\right)=0\)(II) 1
(C) \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+\frac{d y}{d x}+1=0\)(III) not defined
(D) \(2 x^2\left(\frac{d^2 y}{d x^2}\right)^3-5\left(\frac{d y}{d x}\right)^2+y=0\)(IV) 2
Choose the correct answert from the option given below :

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

Answer & Solution

Correct Answer

(B) (А) - (II), (B) - (III), (С) - (IV), (D) - (I)

Step-by-step Solution

Detailed explanation

(A) \(x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0\) Highest order is 2 (\(\frac{d^2 y}{d x^2}\)). Its power is 1. Degree = 1. (A) - (II) (B) \(\frac{d^2 y}{d x^2}+\log \left(\frac{d y}{d x}\right)=0\) Equation is not a polynomial in derivatives…
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