CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | Differential Equations | Order and degree | | (A) ydx + x(y/x)dy - 2xdy = 0 | (I) Order : 2, degree:1 | | (B) (d^3y/dx^3)^2 + 3d^2y/dx^2 + 2(dy/dx)^4 = y^2 | (II) Order :1, degree:1 | | (C) dy/dx + (dy/dx) + x = y | (III) Order : 3, degree:2 | | (D) (ds/dt)^4 + 2sd^2s/dt^2 = 0 | (IV) Order : 1, degree: Not defined | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Calculus

Medium

core

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

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

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

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

✅ Correct Option: 4

Related questions:

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:

14 May Shift 1

Consider the differential equation, $x\frac{dy}{dx} = y(log_e y - log_e x + 1)$ , then which of the following are true?

(A) It is a linear differential equation

(B) It is a homogenous differential equation

(D) Its general solution is $log_e\left(\frac{x}{y}\right) = Cy$ , where C is constant of integration

(E) If $y(1) = 1$ , then its particular solution is $y = x$

Choose the correct answer from the options given below:

14 May Shift 2

The general solution of the differential equation $\frac{dy}{dx} = e^{x-y} + x^2e^{-y}$ is equal to:

CUET Mathematics 2025 26 May Shift 2 PYQs