Question

The order and degree of the differential equation y=x$\frac{dy}{dx}+\sqrt{a^2{\left(\frac{dy}{dx}\right)}^2+b^2}are-$

Answer 1

The order is the highest numbered derivative in the equation.

i.e.,

$(\frac{dy}{dx}{)}^2$

The degre is the highest power to which a derivatives is raised

i.e.,

$\frac{dy}{dx}$

In given equation is a first order and second degree differential equal