CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | Differential Equations | Degree/Order | | (A) Degree of the differential equation d^2x/dx^2 + 2logx * y = 0 | (I) 3 | | (B) Order of the differential equation d^4y/dx^4 + (dy/dx)^4 + xy = 0 | (II) 2 | | (C) Degree of the differential equation (d^4y/dx^4)^2 + (dy/dx)^3 + x^2y = 0 | (III) 1 | | (D) Order of the differential equation d^8y/dx^8 + y(dy/dx)^3 = 0 | (IV) 4 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Calculus

Medium

common

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

(A) - (I), (B) - (III), (C) - (IV), (D) - (II)

✅ Correct Option: 3

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:

15 May Shift 1

Consider the differential equation $\frac{dy}{dx} + y \tan x = \sec x$ , then which of the following statements are correct?

(A) It is homogeneous

(B) It has $\sec x$ as its integrating factor

(D) It's degree is not defined

Choose the correct answer from the options given below:

2 June Shift 1

The solution of the differential equation $ydx + (x - y^2)dy = 0$ is

CUET Mathematics 2025 29 May Shift 2 PYQs