CUET · MATHS · PYQ PAPER 2025
match List - I with List - II
| List - I (Differential Equation) | List - II (Degree) |
| (A) \(x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0\) | (I) 3 |
| (B) \(\frac{d^2 y}{d x^2}+\log \left(\frac{d y}{d x}\right)=0\) | (II) 1 |
| (C) \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)^3+\frac{d y}{d x}+1=0\) | (III) not defined |
| (D) \(2 x^2\left(\frac{d^2 y}{d x^2}\right)^3-5\left(\frac{d y}{d x}\right)^2+y=0\) | (IV) 2 |
- A (А) - (I), (В) - (II), (C) - (III), (D) - (IV)
- B (А) - (II), (B) - (III), (С) - (IV), (D) - (I)
- C (A) - (IV), (B) - (II), (C) - (I), (D) - (II)
- D (A) - (IV), (B) - (II), (C) - (II), (D) - (I)
Answer & Solution
Correct Answer
(B) (А) - (II), (B) - (III), (С) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) \(x y \frac{d^2 y}{d x^2}+x\left(\frac{d y}{d x}\right)^2-y \frac{d y}{d x}=0\) Highest order is 2 (\(\frac{d^2 y}{d x^2}\)). Its power is 1. Degree = 1. (A) - (II) (B) \(\frac{d^2 y}{d x^2}+\log \left(\frac{d y}{d x}\right)=0\) Equation is not a polynomial in derivatives…
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