The solution of the differential equation dy/dx = x+2/3-y, (y ≠ 3), y(0) = 0 represents Option 1: Circle Option 2: Straight line Option 3: Parabola Option 4: Ellipse

The answer is 'Circle'. View full solution:

CUET Mathematics - The solution of the differential equation dy/dx = x+2/3-y, (y ≠ 3), y(0) = 0 represents | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Calculus

Easy

common

Circle

Straight line

Parabola

Ellipse

✅ Correct Option: 1

Related questions:

12th May Shift 2

The solution of the differential equation $\dfrac{dy}{dx} = x^2y^2$ with $y = 1$ at $x = 0$ is

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If $m$ and $n$ are respectively order and degree of the differential equation

$\left(\dfrac{d^2y}{dx^2}\right)^5 + 6\cdot\dfrac{\left(\dfrac{d^2y}{dx^2}\right)^3}{\dfrac{d^3y}{dx^3}} + \dfrac{d^3y}{dx^3} = x^2+5$ then :

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Match List-I with List-II

List-I	List-II
Differential Equations	Order and degree
(A) $ydx + x\log(y/x)dy - 2xdy = 0$	(I) Order : 2, degree:1
(B) $\left(\frac{d^3y}{dx^3}\right)^2 + 3\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right)^4 = y^2$	(II) Order :1, degree:1
(C) $\frac{dy}{dx} + \log\left(\frac{dy}{dx}\right) + x = y$	(III) Order : 3, degree:2
(D) $\left(\frac{ds}{dt}\right)^4 + 2s\frac{d^2s}{dt^2} = 0$	(IV) Order : 1, degree: Not defined

Choose the correct answer from the options given below: