CUET Mathematics - For the differential equation [1+(dy/dx)^2]^3/2d^2y/dx^2 = k, k ≠ 0, which one of the following is TRUE ? | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Calculus

Medium

core

Non-linear differential equation of order 2 and degree 2

linear differential equation of order 2 and degree 2

Non-linear differential equation of order 2 and degree 3

linear differential equation of order 2 and degree 3

✅ Correct Option: 1

Related questions:

31st May Shift 2

Match the LIST-I with LIST-II

	LIST-I Differential equation		LIST-II Integrating factor
A.	$\dfrac{dy}{dx} + 3y = e^{-2x}$	I.	$\dfrac{1}{x}$
B.	$x\dfrac{dy}{dx} + y = 3x^2$	II.	$e^{-x}$
C.	$x\dfrac{dy}{dx} - y = 3x^2$	III.	$x$
D.	$\dfrac{dy}{dx} - y = x$	IV.	$e^{3x}$

Choose the correct answer from the options given below:

15 May Shift 1

Consider the differential equation $\frac{dy}{dx} + y \tan x = \sec x$ , then which of the following statements are correct?

(A) It is homogeneous

(B) It has $\sec x$ as its integrating factor

(D) It's degree is not defined

Choose the correct answer from the options given below:

21 May Shift 1

The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is

CUET Mathematics 2026 21st May Shift 1 PYQs