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

CUET Mathematics 2025 22 May Shift 2

Calculus

Medium

core

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

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

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

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

✅ Correct Option: 2

Related questions:

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Solution of the differential equation

$\frac{dy}{dx} = \sqrt{1+x^2+y^2+x^2y^2}$ is: (Here C is an arbitrary constant)

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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:

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If the slope of the tangent to the curve $y = x(x)$ at any point $(x, y)$ is $\frac{2y}{x}$ and the curve passes through the point $\left(\frac{1}{9}, 1\right)$ , then equation of curve is

CUET Mathematics 2025 22 May Shift 2 PYQs

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