CUET Mathematics - Match List-I with List-II Let f: A o B be a function given by f(x) = x^2 | List-I | List-II | |---|---| | **Differential equation** | **Degree** | | (A) d^2y/dx^2 + sqrt(dy/dx) - y = 0 | (I) 6 | | (B) sqrt(d^4y/dx^4) + [3]d^3y/dx^3 = 0 | (II) Not defined | | (C) (d^2y/dx^2)^2 + dy/dx + e^dx/dx = x^2 | (III) 3 | | (D) sqrt(dy/dx - d^2y/dx^2) = e^x | (IV) 2 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 2

Calculus

Hard

common

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

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

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

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

✅ Correct Option: 1

Related questions:

29 May Shift 2

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

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:

3 June Shift 1

The particular solution of the differential equation $xdy = (2x^2 + 1)dx, x \neq 0$ , given that $y = 1$ when $x = 1$ is:

CUET Mathematics 2025 13 May Shift 2 PYQs