CUET Mathematics 2026 15th May Shift 1 PYQs

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

The solution of the differential equation $(x + 1)\frac{dy}{dx} + 1 - 2e^{-y} = 0$, $y(0) = 0$ is

The solution of the differential equation $(x+1)\frac{dy}{dx} = 1 + y$ is