CUET Mathematics 2025 26 May Shift 2 PYQs

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 $(x^2 + xy)dy = (x^2 + y^2)dx$ is

The general solution of differential equation $\frac{dy}{dx} = e^{x+y}$ is