CUET Mathematics - If m and n are the order and the degree of the differential equation : xd^2y/dx^2 = [1+(dy/dx)^2]^1/3 then which one of the following is TRUE? | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Calculus

Medium

applied

m = n

m + 2n = 7

2m + n = 8

3m + n = 9

✅ Correct Option: 4

Related questions:

26th May Shift 2

The solution of the differential equation $\dfrac{dy}{dx} = \dfrac{x+2}{3-y}, (y \neq 3), y(0) = 0$

represents

14th May Shift 2

Match the LIST-I with LIST-II

	LIST-I (Differential Equation)		LIST-II (Order and degree)
A.	$\log\left(\dfrac{dy}{dx}\right) + \dfrac{d^2y}{dx^2} = 0$	I.	Order : 3 and degree : not defined
B.	$\dfrac{d^3y}{dx^3} + y^2 + e^{\frac{dy}{dx}} = 4$	II.	Order : 2 and degree : 2
C.	$\dfrac{d}{dx}\left(\dfrac{dy}{dx}\right)^2 + \dfrac{dy}{dx} = \sqrt{x}$	III.	Order : 2 and degree : not defined
D.	$\left(1+\left(\dfrac{dy}{dx}\right)^2\right)^{3/2} = \dfrac{d^2y}{dx^2}$	IV.	Order : 2 and degree : 1

Choose the correct answer from the options given below:

21 May Shift 1

The differential equation representing the curve $y = e^{2x}(a + bx)$ , where a, b are arbitrary constants is

CUET Mathematics 2026 25th May Shift 1 PYQs