# Determine order and degree(if defined) of differential equation

Question:

Determine order and degree(if defined) of differential equation $y^{\prime}+5 y=0$

Solution:

The given differential equation is:

$y^{\prime}+5 y=0$

The highest order derivative present in the differential equation is $y^{\prime}$. Therefore, its order is one.

It is a polynomial equation in $y^{\prime}$. The highest power raised to $y^{\prime}$ is 1 . Hence, its degree is one.