CUET Mathematics - The general solution of the differential equation x(dy/dx) = y + x an(y/x) is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Calculus

Medium

core

$an\left(\frac{y}{x}\right) = cx$ , where c is an arbitary constant

$\sin\left(\frac{y}{x}\right) = cx$ , where c is an arbitary constant

$\sin\left(\frac{x}{y}\right) = cx$ , where c is an arbitary constant

$\sin\left(\frac{y}{x}\right) = cx^2$ , where c is an arbitary constant

✅ Correct Option: 2

Related questions:

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The particular solution of the differential equation $\frac{dy}{dx} = e^{x/2} + xy$ , when $x = 0$ , $y = 1$ , is

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The differential equation representing the curve $y = e^{2x}(a + bx)$ , where a, b are arbitrary constants is

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Match List-I with List-II

List-I	List-II
Differential Equations	Degree/Order
(A) Degree of the differential equation $\frac{d^2x}{dx^2} + 2log_e x \cdot y = 0$	(I) 3
(B) Order of the differential equation $\frac{d^2y}{dx^2} + (\frac{dy}{dx})^2 + xy = 0$	(II) 2
(C) Degree of the differential equation $(\frac{d^3y}{dx^3})^2 + (\frac{dy}{dx})^3 + x^2y = 0$	(III) 1
(D) Order of the differential equation $\frac{d^2y}{dx^2} + y(\frac{dy}{dx})^3 = 0$	(IV) 4

Choose the correct answer from the options given below:

CUET Mathematics 2025 30 May Shift 2 PYQs