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

CUET Mathematics 2025 15 May Shift 2

Calculus

Hard

applied

$\log_e|y| + \frac{1}{x} + \frac{1}{y} - x = c$ , where $c$ is constant of integration

$\log_e|y| - \frac{1}{x} + \frac{1}{y} + x = c$ , where $c$ is constant of integration

$\log_e|x| - \frac{1}{x} + \frac{1}{y} + x = c$ , where $c$ is constant of integration

$\log_e|x| + \frac{1}{x} + \frac{1}{y} + x = c$ , where $c$ is constant of integration

✅ Correct Option: 1

Related questions:

2 June Shift 1

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

Choose the correct answer from the options given below:

14 May Shift 2

The general solution of the differential equation $\frac{dy}{dx} = e^{x-y} + x^2e^{-y}$ is equal to:

30 May Shift 2

The sum of order and degree of the differential equation $y = x\frac{dy}{dx} + 2\sqrt{1 + \left(\frac{dy}{dx}\right)^2}$ is

CUET Mathematics 2025 15 May Shift 2 PYQs