CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I (Differential Equation) | List-II (Order and Degree) |
| (A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\) | (I) order \(=1\) and degree \(=2\) |
| (B) \(\left(\frac{d y}{d x}\right)^2+x y=0\) | (II) order \(=2\) and degree \(=1\) |
| (C) \(\left(1+\frac{d y}{d x}\right)^{3 / 2}=4\left(\frac{d^2 y}{d x^2}\right)^2\) | (III) order \(=2\) and degree \(=2\) |
| (D) \(\sqrt{\frac{d^2 y}{d x^2}}+1=\frac{d y}{d x}\) | (IV) order \(=2\) and degree \(=4\) |
- A (A) - (III), (B) - (I), (C) - (IV), (D) – (II)
- B (A) - (II), (B) - (IV), (C) - (I), (D) – (III)
- C (A) - (III), (B) - (I), (C) - (II), (D) – (IV)
- D (A) - (II), (B) - (I), (C) - (III), (D) - (IV)
Answer & Solution
Correct Answer
(A) (A) - (III), (B) - (I), (C) - (IV), (D) – (II)
Step-by-step Solution
Detailed explanation
(A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\) Order \(= 2\) Degree \(= 2\) (A) \(\rightarrow\) (III) (B) \(\left(\frac{d y}{d x}\right)^2+x y=0\) Order \(= 1\) Degree \(= 2\) (B) \(\rightarrow\) (I) (C)…
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