CUET · MATHS · PYQ PAPER 2025
Match List - I with List - II
| List - I | List - II |
| (A) The degree of the differential equation \(\left(\frac{d^2 y}{d x^2}\right)^2+\left(\frac{d y}{d x}\right)=x \sin \left(\frac{d y}{d x}\right)\) | (I) 4 |
| (B) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^{1 / 4}+x^{1 / 5}=0\) | (II) 1 |
| (C) The degree of differential equation \(\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^3+6 y^5=0\) | (III) Not defined |
| (D) The degree of differential equation \(1+\left(\frac{d y}{d x}\right)^4=7\left(\frac{d^2 y}{d x^2}\right)^3\) | (IV) 3 |
- A (A)- (IV), (B) - (III), (С) - (II), (D) - (I)
- B (А) - (III), (В) - (I), (C) - (II), (D) - (IV)
- C (А)-(I), (В) - (II), (C) - (III), (D) - (IV)
- D (А) - (III), (В) - (IV), (C) - (I), (D) - (II)
Answer & Solution
Correct Answer
(B) (А) - (III), (В) - (I), (C) - (II), (D) - (IV)
Step-by-step Solution
Detailed explanation
(A) Degree is not defined due to the presence of \(\sin \left(\frac{d y}{d x}\right)\). Match: (III) (B) \(\frac{d^2 y}{d x^2}+x^{1 / 5}=-\left(\frac{d y}{d x}\right)^{1 / 4}\) \(\left(\frac{d^2 y}{d x^2}+x^{1 / 5}\right)^4=\frac{d y}{d x}\) Highest order derivative is…
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