CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | (A) The degree of the differential equation (d^2y/dx^2)^2 + (dy/dx)^3 = x(dy/dx) | (I) 4 | | (B) The degree of differential equation d^3y/dx^3 + (dy/dx)^1/3 + x^1/5 = 0 | (II) 1 | | (C) The degree of differential equation d^2y/dx^2 + x(dy/dx)^3 + 6y^5 = 0 | (III) Not defined | | (D) The degree of differential equation 1 + (dy/dx)^3 = 7(d^2y/dx^2)^3 | (IV) 3 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

core

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

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

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

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

✅ Correct Option: 2

Related questions:

26 May Shift 2

The solution of the differential equation $xdy - ydx = 0$ represents

21 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Degree of the differential equation $\frac{d^2y}{dx^2} = e^{dy/dx}$ is	(I) 2
(B) Order of the differential equation $(\frac{dy}{dx})^2 + \frac{d^3y}{dx^3} = 0$ is	(II) not defined
(C) Degree of the differential equation $\frac{d^2y}{dx^2} + (\frac{dy}{dx})^2 - 5x^2 = 0$	(III) 3
(D) If p is the order and q is the degree of the differential equation $\frac{dy}{dx} + 3y = e^x$ , then p + q is	(IV) 1

Choose the correct answer from the options given below:

22 May Shift 2

Match List-I with List-II

List-I	List-II
Differential Equation	Order and Degree
(A) $\left(\frac{d^2y}{dx^2}\right)^2 = e^x\left(\frac{dy}{dx}\right)^4 + 1 = 0$	(I) order = 1 and degree = 2
(B) $\left(\frac{dy}{dx}\right)^2 + xy = 0$	(II) order = 2 and degree = 1
(C) $\left(1 + \frac{dy}{dx}\right)^{3/2} = 4\left(\frac{d^2y}{dx^2}\right)^3$	(III) order = 2 and degree = 2
(D) $\frac{d^2y}{dx^2} + 1 = \frac{dy}{dx}$	(IV) order = 2 and degree = 4

Choose the correct answer from the options given below:

CUET Mathematics 2025 27 May Shift 1 PYQs