CUET Mathematics 2022 7 Aug Shift 2 PYQs

The sum of order and degree of the differential equation $\frac{\left\{1+\left(\frac{dy}{dx}\right)^2\right\}^{\frac{5}{2}}}{\frac{d^2y}{dx^2}} = p$ is :

The equation of curve whose slope is given by $\frac{dy}{dx} = x$ and which passes through $\left(1, \frac{5}{2}\right)$ is :

The differential equation $\frac{dy}{dx} + \frac{x}{y} = 0$, represents the family of curves: