List of top Mathematics Questions on types of differential equations asked in MET

If the sum of two of the roots of \(x^3 + px^2 + qx + r = 0\) is zero, then \(pq =\)

The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively:

The degree of the differential equation \( \left[ 1 + \left(\frac{dy}{dx}\right)^{2} \right]^{3/2} = \frac{d^{2}y}{dx^{2}} \) is: