CUET Mathematics - The solution of the differential equation dy/dx - y/x = 2_e x | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Calculus

Medium

core

$y = x\log_e x + C$ ; C is an arbitrary constant

$y = x(\log_e x + C)$ ; C is an arbitrary constant

$y = x((\log_e x)^2 + C)$ ; C is an arbitrary constant

$y = x(2(\log_e x)^2 + C)$ ; C is an arbitrary constant

✅ Correct Option: 3

Related questions:

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:

3 June Shift 2

The sum of the order and degree of the differential equation representing the family of curves $y = mx + m^2$ , where m is arbitrary constant, is

15 May Shift 2

Match List-I with List-II

Choose the correct answer from the options given below:

CUET Mathematics 2025 22 May Shift 1 PYQs