CUET Mathematics - 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 | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Medium

applied

✅ Correct Option: 3

Related questions:

16 May Shift 1

The particular solution of the differential equation $\log\left(\frac{dy}{dx}\right)= 3x + 4y$ satisfying $y = 0$ when $x = 0$ is:

26 May Shift 2

The particular solution of the differential equation $\frac{dy}{dx} = e^{x/2} + xy$ , when $x = 0$ , $y = 1$ , is

15 May Shift 1

Match List-I with List-II

List-I	List-II
(Differential equation)	(Order and Degree)
(A) $\frac{d^3y}{dx^3} + y^2 + e^{dy/dx} = 0$	(I) order = 3, degree = 1
(B) $\left(\frac{d^2y}{dx^2}\right)^3 + \left(\frac{dy}{dx}\right)^2 + \frac{dy}{dx} + 1 = 0$	(II) order = 3, degree not defined
(C) $2x^2\frac{d^2y}{dx^2} - 3\left(\frac{dy}{dx}\right)^2 + y = 0$	(III) order = 2, degree = 3
(D) $\frac{d^3y}{dx^3} + 2\left(\frac{dy}{dx}\right)^2 + \frac{dy}{dx} = 0$	(IV) order = 2, degree = 1

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs