CUET Mathematics - Match **List-I** with **List-II** | List-I | List-II | |---|---| | **Differential Equations** | **Order and degree** | | (A) dy/dx + e^y = 0 | (I) order 2, degree not defined | | (B) d^2y/dx^2 = [1 + (dy/dx)^2]^3/2 | (II) order 2, degree 1 | | (C) (d^2y/dx^2)^2 + e^(dy/dx) = 0 | (III) order 1, degree 1 | | (D) d^2y/dx^2 + xdy/dx - 2y = logx; x > 0 | (IV) order 2, degree 2 | Choose the **correct** answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Calculus

Medium

common

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

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

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

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

✅ Correct Option: 1

Related questions:

26 May Shift 2

Curd is at 80° F, five minutes later it came down at 60°F. After another 5 minutes, its temperature became 50° F. Given that the rate of change of temperature is proportional to (T - S), where S is temperature of the surroundings and T is temperature of the curd at any time t. Then the temperature of the surroundings is :

14 May Shift 2

For the differential equation $(x + y)dy + (x - y)dx = 0$ , which of the following is/are correct?

(A) Differential equation is homogeneous

(B) Order of differential equation is 1

(D) Degree of the equation is not defined

Choose the correct answer from the options given below:

29 May Shift 2

Match List-I with List-II

List-I	List-II
Differential Equations	Degree/Order
(A) Degree of the differential equation $\frac{d^2x}{dx^2} + 2log_e x \cdot y = 0$	(I) 3
(B) Order of the differential equation $\frac{d^2y}{dx^2} + (\frac{dy}{dx})^2 + xy = 0$	(II) 2
(C) Degree of the differential equation $(\frac{d^3y}{dx^3})^2 + (\frac{dy}{dx})^3 + x^2y = 0$	(III) 1
(D) Order of the differential equation $\frac{d^2y}{dx^2} + y(\frac{dy}{dx})^3 = 0$	(IV) 4

Choose the correct answer from the options given below:

CUET Mathematics 2025 14 May Shift 2 PYQs

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