CUET · MATHS · PYQ PAPER 2025
Match List-l with List-ll
| List-l (Statement) | List-ll (Its value) |
| (A) Degree of the differential equation \(\frac{d^2 y}{d x^2}=e^{d y / d x}\) is | (I) 2 |
| (B) Order of the differential equation \(\left(\frac{d y}{d x}\right)^2+\frac{d^3 y}{d x^3}=0\) is | (II) not defined |
| (C) Degree of the differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2-5 x^2=0\) | (III) 3 |
| (D) If \(p\) is the order and \(q\) is the degree of the differential equation \(\frac{d y}{d x}+3 y=e^x\), then \(p+q\) is | (IV) 1 |
- A (A) - (IV), (B) - (I), (C) - (III), (D) - (II)
- B (A) - (I), (B) - (IV), (C) - (II), (D) - (III)
- C (А) - (II), (В) - (III), (C) - (IV), (D) - (I)
- D (А) - (III), (В) - (IV), (C) - (II), (D) - (I)
Answer & Solution
Correct Answer
(C) (А) - (II), (В) - (III), (C) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) For \( \frac{d^2 y}{d x^2}=e^{d y / d x} \), the degree is not defined due to the exponential term \( e^{d y / d x} \). ⇒ (A) - (II) (B) For \( \left(\frac{d y}{d x}\right)^2+\frac{d^3 y}{d x^3}=0 \), the highest order derivative is \( \frac{d^3 y}{d x^3} \). Order =…
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