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Which of the following are first order linear differential equations? (A) dx dy + P_1(y)x = Q_1(y) : P_1(y) and Q_1(y) are functions of y or constant…

CUET UG 2025 — Mathematics Calculus

2025mcqmedium

Which of the following are first order linear differential equations?

(A) dxdy+P1(y)x=Q1(y)\frac{dx}{dy} + P_1(y)x = Q_1(y)dydx​+P1​(y)x=Q1​(y) : P1(y)P_1(y)P1​(y) and Q1(y)Q_1(y)Q1​(y) are functions of y or constant functions

(B) dydx+P2(x)y=Q2(x)\frac{dy}{dx} + P_2(x)y = Q_2(x)dxdy​+P2​(x)y=Q2​(x) : P2(x)P_2(x)P2​(x) and Q2(x)Q_2(x)Q2​(x) are functions of x or constant functions

(C) (x+y)dydx=x−2y(x + y)\frac{dy}{dx} = x - 2y(x+y)dxdy​=x−2y

(D) (1+x2)dydx−2xy=x2+3(1 + x^2)\frac{dy}{dx} - 2xy = x^2 + 3(1+x2)dxdy​−2xy=x2+3

Choose the correct answer from the options given below:

Official previous-year question

Held on 30 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A) and (B) only

  2. B

    (A), (B) and (C) only

  3. C

    (A), (B) and (D) only

  4. D

    (A), (C) and (D) only

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