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CUET · MATHS · PYQ PAPER 2025

Match List - I with List - II
List - I (Differential Equations)List - II (Order and degree)
(A) \(ydx + xlog(y/x)dy - 2xdy = 0\)(I) Order: 2, degree:1
(B) \(\left(\frac{d^3 y}{d x^3}\right)^2+3 \frac{d^2 y}{d x^2}+2\left(\frac{d y}{d x}\right)^4=y^2\)(II) Order :1, degree:1
(C) \(\frac{d y}{d x}+\log \left(\frac{d y}{d x}\right)+x=y\)(III) Order: 3, degree:2
(D) \(\left(\frac{d s}{d t}\right)^4+2 s \frac{d^2 s}{d t^2}=0\)(IV) Order: 1, degree: Not defined
Choose the correct answer from the options given below:

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

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

(A) \(ydx + x\log(y/x)dy - 2xdy = 0 \Rightarrow y + (x\log(y/x) - 2x)\frac{dy}{dx} = 0\) Highest derivative: \(\frac{dy}{dx}\). Order: 1. Power of highest derivative: 1. Degree: 1. Match: (A) - (II) (B)…
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