CUET Mathematics 2026 19th 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 general solution of the differintial equation : $x\frac{dy}{dx}-ay=1(a\neq0)$ is

For the differential equation $\frac{\left[1+\left(\frac{dy}{dx}\right)^2\right]^{\frac{3}{2}}}{\frac{d^2y}{dx^2}} = k, k \neq 0$, which one of the following is TRUE ?