CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I (Differential equation) | List-II (Order and Degree) |
| (A) \(\frac{d^3 y}{d x^3}+y^2+e^{d y / d x}=0\) | (I) order \(=3\), degree \(=1\) |
| (B) \(\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}+1=0\) | (II) order \(=3\), degree not defined |
| (C) \(2 x^2 \frac{d^2 y}{d x^2}-3\left(\frac{d y}{d x}\right)^2+y=0\) | (III) order \(=2\), degree \(=3\) |
| (D) \(\frac{d^3 y}{d x^3}+2\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}=0\) | (IV) order \(=2\), degree \(=1\) |
- A (A) - (I), (B) – (II), (C) – (III), (D) – (IV)
- B (A) – (II), (B) – (III), (C) - (IV), (D) – (I)
- C (A) – (II), (B) - (I), (C) - (IV), (D) – (III)
- D (A) - (IV), (B) – (I), (C) – (II), (D) – (III)
Answer & Solution
Correct Answer
(B) (A) – (II), (B) – (III), (C) - (IV), (D) – (I)
Step-by-step Solution
Detailed explanation
(A) \(\frac{d^3 y}{d x^3}+y^2+e^{d y / d x}=0\): Order \(=3\), Degree not defined (due to \(e^{d y / d x}\)). Matches (II). (B) \(\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\frac{d y}{d x}+1=0\): Order \(=2\), Degree \(=3\). Matches (III). (C)…
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