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CUET · MATHS · PYQ PAPER 2025

Match List - I with List - II
List - IList - II
(A) The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)=x \sin \left(\frac{d y}{d x}\right)\)(I) 4
(B) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^{1 / 4}+x^{1 / 5}=0\)(II) 1
(C) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^3+6 y^5=0\)(III) Not defined
(D) The degree of differential equation \(1+\left(\frac{d y}{d x}\right)^4=7\left(\frac{d^2 y}{d x^2}\right)^3\)(IV) 3
Choose the correct answer from the options given below:

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

Answer & Solution

Correct Answer

(B) (А) - (III), (В) - (I), (C) - (II), (D) - (IV)

Step-by-step Solution

Detailed explanation

(A) Degree is not defined due to the presence of \(\sin \left(\frac{d y}{d x}\right)\). Match: (III) (B) \(\frac{d^2 y}{d x^2}+x^{1 / 5}=-\left(\frac{d y}{d x}\right)^{1 / 4}\) \(\left(\frac{d^2 y}{d x^2}+x^{1 / 5}\right)^4=\frac{d y}{d x}\) Highest order derivative is…