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Consider the differential equation xdy = (y + 2x^3)dx. Then which of the following are TRUE? (A) It is a homogeneous differential equation. (B)…

CUET UG 2025 — Mathematics Calculus

2025mcqmedium

Consider the differential equation xdy=(y+2x3)dxxdy = (y + 2x^3)dxxdy=(y+2x3)dx. Then which of the following are TRUE?

(A) It is a homogeneous differential equation.

(B) Product of the order and degree of the differential equation in one.

(C) Integrating factor is x.

(D) General solution of the differential equation is y=x3+Cxy = x^3 + Cxy=x3+Cx, where C is an arbitary constant.

Choose the correct answer from the options given below:

Official previous-year question

Held on 3 Jun 2025 · Verified 13 Jul 2026.

Options

  1. A

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

  2. B

    (B), (C) and (D) only

  3. C

    (B) and (D) only

  4. D

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

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