CUET Mathematics - Consider the differential equation dy/dx + y x = x, then which of the following statements are correct? (A) It is homogeneous (B) It has x as its integrating factor (C) It's general solution is y x = x + c, where c is arbitary constant. (D) It's degree is not defined Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Calculus

Medium

core

(A) and (D) only

(B) and (C) only

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

✅ Correct Option: 2

Related questions:

22 May Shift 1

Match List-I with List-II

List-I	List-II
Differential Equation	Degree
(A) $xy\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^2 - y\frac{dy}{dx} = 0$	(I) 3
(B) $\frac{d^2y}{dx^2} + \log\left(\frac{dy}{dx}\right) = 0$	(II) 1
(C) $\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^3 + \frac{dy}{dx} + 1 = 0$	(III) not defined
(D) $2x^2\left(\frac{d^2y}{dx^2}\right)^3 - 5\left(\frac{dy}{dx}\right)^3 + y = 0$	(IV) 2

Choose the correct answer from the options given below:

21 May Shift 2

The solution of the differential equation $(x + 1)\frac{dy}{dx} + 1 - 2e^{-y} = 0$ , $y(0) = 0$ is

29 May Shift 2

The particular solution of the differential equation $\frac{dy}{dx} = 8yx$ when $y = 1$ at $x = 0$

CUET Mathematics 2025 15 May Shift 1 PYQs