List of top Mathematics Questions on Differential equations asked in GUJCET

The number of arbitrary constants in the particular solution of a differential equation of third order are _____
The order and the degree of the differential equation \[ \sqrt{1 + \left(\frac{d^2y}{dx^2}\right)^2} = \sqrt{x + \left(\frac{dy}{dx}\right)^6} \] are respectively _____ and _____