CUET · MATHS · PYQ PAPER 2025
Match List - I with List - II
| List - I (Differential Equations) | List - II (Order and degree) |
| (A) \(ydx + xlog(y/x)dy - 2xdy = 0\) | (I) Order: 2, degree:1 |
| (B) \(\left(\frac{d^3 y}{d x^3}\right)^2+3 \frac{d^2 y}{d x^2}+2\left(\frac{d y}{d x}\right)^4=y^2\) | (II) Order :1, degree:1 |
| (C) \(\frac{d y}{d x}+\log \left(\frac{d y}{d x}\right)+x=y\) | (III) Order: 3, degree:2 |
| (D) \(\left(\frac{d s}{d t}\right)^4+2 s \frac{d^2 s}{d t^2}=0\) | (IV) Order: 1, degree: Not defined |
- A (A) - (IV), (B) - (III), (С) - (II), (D) - (I)
- B (А) - (II), (В) - (IV), (C) - (III), (D) - (I)
- C (A) - (IV), (B) - (II), (C) - (I), (D) - (III)
- D (А) - (II), (В) - (III), (C) - (IV), (D) - (I)
Answer & Solution
Correct Answer
(D) (А) - (II), (В) - (III), (C) - (IV), (D) - (I)
Step-by-step Solution
Detailed explanation
(A) \(ydx + x\log(y/x)dy - 2xdy = 0 \Rightarrow y + (x\log(y/x) - 2x)\frac{dy}{dx} = 0\) Highest derivative: \(\frac{dy}{dx}\). Order: 1. Power of highest derivative: 1. Degree: 1. Match: (A) - (II) (B)…
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