CUET Mathematics - For the differential equation xdy/dx + 2y = x^3_e x (A) Integrating factor is 2x (B) Integrating factor is x^2 (C) General Solution is y = x^3/16(4_e|x| - 1) + Cx^-2 Where C is an arbitrary constant. (D) General Solution is y = x^4/16(4_e|x| - 1) + C Where C is an arbitrary constant. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Medium

core

(A) and (C) only

(B) and (D) only

(B) and (C) only

(A) and (D) only

✅ Correct Option: 3

Related questions:

27 May Shift 1

The particular solution of the differential equation $\frac{dy}{dx} + \frac{3y}{x} = 0$ , $y(1) = 1$ is

2 June Shift 1

Match List-I with List-II

List-I	List-II
(A) The degree of differential equation $\frac{d^3y}{dx^3} = e^{\frac{dx}{dy}}$	(I) 2
(B) The order of differential equation $\left(\frac{dy}{dx}\right)^3 + \frac{d^3y}{dx^3} = 0$	(II) 4
(C) The sum of order and degree of differential equation $\frac{d}{dx}\left(\frac{d^2y}{dx^2}\right) + \left(\frac{dy}{dx}\right)^2 = x$	(III) not defined
(D) The number of arbitrary constants in the general solution of a differential equation of order 2	(IV) 3

Choose the correct answer from the options given below:

27 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The degree of the differential equation $\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^3 = x\sin\left(\frac{dy}{dx}\right)$	(I) 4
(B) The degree of differential equation $\frac{d^3y}{dx^3} + \left(\frac{dy}{dx}\right)^{1/3} + x^{1/5} = 0$	(II) 1
(C) The degree of differential equation $\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^3 + 6y^5 = 0$	(III) Not defined
(D) The degree of differential equation $1 + \left(\frac{dy}{dx}\right)^3 = 7\left(\frac{d^2y}{dx^2}\right)^3$	(IV) 3

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs