CUET Mathematics - Which one of the following equations is a homogeneous differential equation? | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

common

$(4x + 5)dy + (3y - 4)dx = 0$

$x^2y dx - (x^3 + y^3)dy = 0$

$(x^3 + 2y^2x)dy + 2xydx = 0$

$x^2 dy - y^2 dx = \sqrt{x^2 + y^2} dx$

✅ Correct Option: 2

Related questions:

22 May Shift 2

The particular solution of the differential equation $\left[x \sin^2\left(\frac{y}{x}\right) - y\right]dx + xdy = 0$ , $y = \frac{\pi}{4}$ when $x = 1$ is

29 May Shift 2

The number of arbitrary constants in the general solution of a differential equation of order 4 and degree 1 is

CUET Mathematics 2024 Slot 1

The degree of the differential equation $\left(1-\left(\frac{d y}{d x}\right)^{2}\right)^{\frac{3}{2}}=k \frac{d^{2} y}{d x^{2}}$ is :

CUET Mathematics 2025 27 May Shift 1 PYQs

Keyboard Shortcuts