Answer
$W(x)= \;C$
Work Step by Step
We will use Abel's formula to find wronskian
${y}''''+2{y}=0\\\\$
$p_{1}(x)=0\;\;\;\;\;\;\;\;\;\;\;\;$ coefficient of ${y}'''\\\\$
$W(x)= Ce^{-\int p_{1}(x)dx}\;=\;Ce^{-\int 0dx}\;=Ce^{0}\;=\;C$
