CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | Differential equation | Integrating factor | | (A) xdy/dx - y = 2x^2 | (I) e^-y | | (B) dy/dx + y/x = 2x | (II) 1/x | | (C) xdy/dx + 2y = x^2logx | (III) x | | (D) dx/dy - x = y | (IV) x^2 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Calculus

Medium

core

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

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

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

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

✅ Correct Option: 3

Related questions:

16 May Shift 1

The degree of the differential equation $\left(2 + \left(\frac{dy}{dx}\right)^2\right)^{\frac{3}{2}} = a^2 \frac{d^2y}{dx^2}$ is:

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 13 May Shift 1 PYQs