CUET Mathematics - Match the LIST-I with LIST-II | LIST-I Differential equation | LIST-II Integrating factor of the differential equation | |---|---| | A. dy/dx + 2y = xe^4x | I. 1/x | | B. 2xdy/dx + y = 6x^3 | II. 1/y | | C. ydx - xdy + (_e x)dx = 0 | III. e^2x | | D. ydx - (x+2y^2)dy = 0 | IV. sqrt(x) | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 25th May Shift 1

Calculus

Hard

core

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

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

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

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

✅ Correct Option: 3

Related questions:

30th May Shift 1

Match the LIST-I with LIST-II

	LIST-I Differential equation		LIST-II Sum of the order and the degree of the differential equation
A.	$\dfrac{d}{dx}\left(\dfrac{dy}{dx}\right) = 1$	I.	$2$
B.	$4 + \left(\dfrac{dy}{dx}\right)^4 = 7\left(\dfrac{d^2y}{dx^2}\right)^3$	II.	$3$
C.	$x^3\left(\dfrac{d^2y}{dx^2}\right)^2 + x\left(\dfrac{dy}{dx}\right)^4 + 1 = 0$	III.	$5$
D.	$\dfrac{dy}{dx} = x^4 e^{-3y}$	IV.	$4$

Choose the correct answer from the options given below:

14 May Shift 1

The solution of the differential equation $log_e\left(\frac{dy}{dx}\right) = 3x + 4y$ is given by

15 May Shift 2

Consider the curve which is represented by the differential equation $\frac{dy}{dx} = 1 + x + y + xy$ . If it passes through the point $(0,0)$ , then which of the following is/are true?

(A) it is a straight line.

(B) it is a parabola.

(D) Its equation is $xy(x + 1)\left(y - \frac{1}{\sqrt{e}} + 1\right) = 0$

Choose the correct answer from the options given below:

CUET Mathematics 2026 25th May Shift 1 PYQs

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