Solution of differential equation x dy - y dx = 0 respresents : Option 1: family of straight lines passing through origin Option 2: family of parabolas whose vertex is at origin Option 3: family of circles whose centre is at origin Option 4: family of straight lines passing through (1, 1)

The answer is 'family of straight lines passing through origin'. View full solution:

CUET Mathematics - Solution of differential equation x dy - y dx = 0 respresents : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Calculus

Easy

family of straight lines passing through origin

family of parabolas whose vertex is at origin

family of circles whose centre is at origin

family of straight lines passing through (1, 1)

✅ Correct Option: 1

Related questions:

14 May Shift 2

Match List-I with List-II

List-I	List-II
Differential Equations	Order and degree
(A) $\frac{dy}{dx} + e^y = 0$	(I) order 2, degree not defined
(B) $\frac{d^2y}{dx^2} = \left[1 + \left(\frac{dy}{dx}\right)^2\right]^{3/2}$	(II) order 2, degree 1
(C) $\left(\frac{d^2y}{dx^2}\right)^2 + e^{(\frac{dy}{dx})} = 0$	(III) order 1, degree 1
(D) $\frac{d^2y}{dx^2} + x\frac{dy}{dx} - 2y = logx; x > 0$	(IV) order 2, degree 2

Choose the correct answer from the options given below:

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The order and degree of the differential equation $\left[\left(\frac{d^2y}{dx^2}\right)^2 - 3\right]^{\frac{1}{3}} = 2\left(\frac{dy}{dx}\right)^{\frac{1}{4}}$ are

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If $\sin y=x \sin (a+y)$ , then $\frac{d y}{d x}$ is :

CUET Mathematics 2023 30 May Shift 3 PYQs

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