CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List - I (Differential Equations) | List - II (Degree/Order) |
| (A) Degree of the differential equation \(\frac{d^3 y}{d x^3}+2 \log x \cdot y=0\) | (I) 3 |
| (B) Order of the differential equation \(\frac{d^4 y}{d x^4}+\left(\frac{d y}{d x}\right)^4+x y=0\) | (II) 2 |
| (C) Degree of the differential equation \(\left(\frac{d^4 y}{d x^4}\right)^2+\left(\frac{d y}{d x}\right)^3+x^2 y=0\) | (III) 1 |
| (D) Order of the differential equation \(\frac{d^3 y}{d x^3}+y\left(\frac{d y}{d x}\right)^3=0\) | (IV) 4 |
- A (A) - (III), (B) - (II), (C) (IV), (D) - (I)
- B (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
- C (A) - (III), (B) (IV), (C) - (II), (D) - (I)
- D (A) - (II), (B) - (I), (C) - (IV), (D) – (III)
Answer & Solution
Correct Answer
(C) (A) - (III), (B) (IV), (C) - (II), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) Highest order derivative: \\(\\frac{d^3 y}{d x^3}\\). Power of highest order derivative: 1. Degree = 1. Matches (III). (B) Highest order derivative: \\(\\frac{d^4 y}{d x^4}\\). Order = 4. Matches (IV). (C) Highest order derivative: \\(\\frac{d^4 y}{d x^4}\\). Power of…
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