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.
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