CUET Mathematics - The general solution of the differential equation ydx - (x + 2y^2)dy = 0 | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Calculus

Medium

core

$\frac{x}{y} = 2x + C$ , Where $C$ is constant of integration

$y = 2x^2 + C$ , Where $C$ is constant of integration

$\frac{y}{x} = 2y + C$ , Where $C$ is constant of integration

$x = 2y^2 + Cy$ , Where $C$ is constant of integration

✅ Correct Option: 4

Related questions:

15 May Shift 2

Consider the differential equation $xdy = (x + y) dx$ . Which of the following are true?

(A) It is a homogenous differential equation

(B) It is a differential equation of order 2

(D) Integrating factor of differential equation is $\frac{1}{x}$

(E) Degree of the differential equation is not defined

Choose the correct answer from the options given below:

3 June Shift 1

If m and n are respectively the order and degree of the differential equation $(y^2\frac{d^2y}{dx^2})^{3/4} + (\frac{dy}{dx})^4 = 0$ , then the value of $m + n$ is:

21 May Shift 1

The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is

CUET Mathematics 2025 13 May Shift 1 PYQs

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