CUET · MATHS · PYQ PAPER 2025
Match List-l with List-ll
| List-l (Differential Equation) | List-ll (Order and degree of differential equation) |
| (A) \(\frac{d^2 y}{d x^2}+2\left(\frac{d y}{d x}\right)^2=e^{\frac{d y}{d x}}+1\) | (I) Order = 1, Degree = 2 |
| (B) \(\left(\frac{d^2 y}{d x^2}\right)^2+4\left(\frac{d y}{d x}\right)^3=e^y-1\) | (II) Order = 2, Degree = 1 |
| (C) \(3\left(\frac{d y}{d x}\right)+4 y+e^y=\frac{d x}{d y}\) | (III) Order = 2 , Degree = 2 |
| (D) \(\frac{d^2 y}{d x^2}+3\left(\frac{d y}{d x}\right)=\left(e^y+\frac{d y}{d x}\right)^2\) | (IV) Order = 2, Degree = Not defined |
- A (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
- B (А) - (II), (B) - (III), (C) - (IV), (D) - (I)
- C (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
- D (A) - (IV), (B) - (III), (С) - (II), (D) - (I)
Answer & Solution
Correct Answer
(C) (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
Step-by-step Solution
Detailed explanation
(A) \(\frac{d^2 y}{d x^2}+2\left(\frac{d y}{d x}\right)^2=e^{\frac{d y}{d x}}+1\) Highest order derivative: \(\frac{d^2 y}{d x^2}\) (Order = 2). Equation is not a polynomial in derivatives due to \(e^{\frac{d y}{d x}}\). Degree = Not defined. (A) matches (IV). (B)…
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