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Match List-I with List-II | List-I | List-II | | --- | --- | | Differential Equation | General solution | | --- | --- | | (A) dy dx = y x; x ≠ 0 |…

CUET UG 2025 — Mathematics Calculus

2025mcqmedium

Match List-I with List-II

List-I List-II
Differential Equation General solution
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(A) dydx=yx;x≠0\dfrac{dy}{dx} = \dfrac{y}{x}; x \neq 0dxdy​=xy​;x=0 (I) y=cx;c is an arbitrary constanty = cx; c \text{ is an arbitrary constant}y=cx;c is an arbitrary constant
(B) xdx−ydy=0;y≠0,x≠0x dx - y dy = 0; y \neq 0, x \neq 0xdx−ydy=0;y=0,x=0 (II) x2−y2=c;c is an arbitrary constantx^2 - y^2 = c; c \text{ is an arbitrary constant}x2−y2=c;c is an arbitrary constant
(C) (x2−1)y2+1dxdy=1\dfrac{(x^2 - 1)}{y^2 + 1}\dfrac{dx}{dy} = 1y2+1(x2−1)​dydx​=1 (III) 2x+3y=c;c is an arbitrary constant2x + 3y = c; c \text{ is an arbitrary constant}2x+3y=c;c is an arbitrary constant
(D) 2dx+3dy=02 dx + 3 dy = 02dx+3dy=0 (IV) (x3−y3)=c+3(x+y);c is an arbitrary constant(x^3-y^3) = c + 3(x+y); c \text{ is an arbitrary constant}(x3−y3)=c+3(x+y);c is an arbitrary constant

Choose the correct answer from the options given below:

Official previous-year question

Held on 21 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A) - (IV), (B) - (I), (C) - (II), (D) - (III)

  2. B

    (A) - (II), (B) - (IV), (C) - (III), (D) - (I)

  3. C

    (A) - (II), (B) - (IV), (C) - (I), (D) - (III)

  4. D

    (A) - (I), (B) - (II), (C) - (IV), (D) - (III)

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