CUET · MATHS · PYQ PAPER 2025
Match List-I with List-II
| List-I (Differential equation) | List-II (Order and degree) |
| (A) \(\left(y^{\prime \prime}\right)^3+\left(y^{\prime}\right)^4-6=\left(y^{\prime \prime \prime}\right)^2\) | (I) Order \(=1\), Degree = 2 |
| (B) \(\sqrt{\left(y^{\prime}\right)^2+5}=y^{\prime \prime}\) | (II) Order \(=2\), Degree = 3 |
| (C) \(\left(y^{\prime}\right)^2=\left(2+y^{\prime \prime}\right)^{3 / 2}\) | (III) Order \(=2\), Degree = 2 |
| (D) \(y=x y^{\prime}+\sqrt{a^2\left(y^{\prime}\right)^2+b^2}\) | (IV) Order \(=3\), Degree = 2 |
- A (A) - (II), (B) - (III), (C) - (IV), (D) - (I)
- B (A) - (IV), (B) - (I), (C) - (III), (D) - (II)
- C (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
- D (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Answer & Solution
Correct Answer
(C) (A) - (IV), (B) - (III), (C) - (II), (D) - (I)
Step-by-step Solution
Detailed explanation
For (A) \(\left(y^{\prime \prime}\right)^3+\left(y^{\prime}\right)^4-6=\left(y^{\prime \prime \prime}\right)^2\): Order = 3, Degree = 2. (A) - (IV) For (B) \(\sqrt{\left(y^{\prime}\right)^2+5}=y^{\prime \prime}\): \(\left(y^{\prime}\right)^2+5=\left(y^{\prime \prime}\right)^2\).…
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