CUET Mathematics 2025 19 May Shift 1 PYQs

The integrating factor of the differential equation $\frac{dy}{dx} = x + xy$ is

For $y \neq 0$, the particular solution of the differential equation $2ye^{xy}dx + (y - 2xe^{xy})dy = 0$ at the point (1, 1) is

The solution of the differential equation $\frac{dy}{dx} = (1 + x^2)(1 + y^2)$ is (Here C is an arbitrary constant)