CUET Mathematics - The general solution of the differential equation dy/dx = -4xy^2 is given by | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Medium

common

$2x^2 - y = C$ ; C is an arbitrary constant

$2x^2 - \frac{1}{y} = C$ ; C is an arbitrary constant

$2x^2 + \frac{1}{y^2} = C$ ; C is an arbitrary constant

$2x^2 + \frac{1}{y} = C$ ; C is an arbitrary constant

✅ Correct Option: 2

Related questions:

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The general solution of the differential equation

$\frac{dy}{dx} = xy + x + y + 1$ is

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The solution of the differential equation $\log_e\left(\frac{dy}{dx}\right) = 5x + 2y$ is given by

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Match List-I with List-II

List-I	List-II
(A) The degree of the differential equation $\left(\frac{d^2y}{dx^2}\right)^2 + \left(\frac{dy}{dx}\right)^3 = x\sin\left(\frac{dy}{dx}\right)$	(I) 4
(B) The degree of differential equation $\frac{d^3y}{dx^3} + \left(\frac{dy}{dx}\right)^{1/3} + x^{1/5} = 0$	(II) 1
(C) The degree of differential equation $\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^3 + 6y^5 = 0$	(III) Not defined
(D) The degree of differential equation $1 + \left(\frac{dy}{dx}\right)^3 = 7\left(\frac{d^2y}{dx^2}\right)^3$	(IV) 3

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs