CUET Mathematics - The solution of the differential equation log_e(dy/dx) = 3x + 4y is given by | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Calculus

Medium

common

$4e^{3x} + 3e^{-4y} + C = 0$ , where C is constant of integration

$3e^{3x} + 4e^{-4y} + C = 0$ , where C is constant of integration

$4e^{-3x} + 3e^{4y} + C = 0$ , where C is constant of integration

$3e^{-3x} + 4e^{4y} + C = 0$ , where C is constant of integration

✅ Correct Option: 1

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The solution of the differential equation $xdy - ydx = 0$ represents

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The differential equation representing the family of curves $y = Ax + \frac{B}{x}$ , $x \neq 0$ where A and B are arbitrary constants, is given by

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Match List-I with List-II

List-I	List-II
(A) The degree of differential equation $\frac{d^3y}{dx^3} = e^{\frac{dx}{dy}}$	(I) 2
(B) The order of differential equation $\left(\frac{dy}{dx}\right)^3 + \frac{d^3y}{dx^3} = 0$	(II) 4
(C) The sum of order and degree of differential equation $\frac{d}{dx}\left(\frac{d^2y}{dx^2}\right) + \left(\frac{dy}{dx}\right)^2 = x$	(III) not defined
(D) The number of arbitrary constants in the general solution of a differential equation of order 2	(IV) 3

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CUET Mathematics 2025 14 May Shift 1 PYQs