CUET Mathematics 2025 29 May Shift 2 PYQs

The differential equation representing the family of curves $y = Ax + \frac{B}{x}$, $x \neq 0$ where A and B are arbitrary constants, is given by

The particular solution of the differential equation $\frac{dy}{dx} = e^{x/2} + xy$, when $x = 0$, $y = 1$, is

The particular solution of the differential equation $\frac{dy}{dx} = 8yx$ when $y = 1$ at $x = 0$