Which of the following statements is/are true? (A) (tan^-1 y - x)dy = (1 + y^2)dx is a differential equation where variables are separable. (B) (1 +…
CUET UG 2025 — Mathematics Calculus
Which of the following statements is/are true?
(A) (tan−1y−x)dy=(1+y2)dx is a differential equation where variables are separable.
(B) (1+x2)dy+2xydy=cotx dx(x=0) is a first order linear differential equation.
(C) (4x+6y+5)dy−(3y+2x+4)dx=0 is not a homogeneous differential equation.
(D) (xy)dx−(x+y2)dy=0 is a homogeneous differential equation.
Choose the correct answer from the options given below:
Held on 22 May 2025 · Verified 13 Jul 2026.
Options
- A
(A) only
- B
(B) and (C) only
- C
(B) and (D) only
- D
(A), (B), (C) and (D)
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