Question

The differential equation of the family of curves $y=ax+\frac{1}{a}$ where $a\ne 0$ is an arbitrary constant, has the degree

Answer 1

Given,

$y=ax+\frac{1}{a}$

differentiating on both sides, we get,

$\frac{dy}{dx}=a+0$

Therefore the degree of the above differential equation is 1.