This is what my study guide defined as the steady state solution
If $h(a)=0$ for some constant $a$, then the constant function $y=a$ is a solution of the DE. We sometimes called this a steady state solution.
From what I interpret you are focused on finding the solutions of $y$ and you would let $dy/dx$ equal to $0$. You would also let any non $y$ term equal to $0$ as well. Does that simply mean that the steady state solution for this question would be equal to zero or am I interpreting the definition wrong?