# How to apply steady state solution into this question

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?

• In your study guide, what is $h$ supposed to be? – Mattos Aug 22 at 4:03
• @Mattos Just function – DDDDOO Aug 22 at 4:31

You got it. A steady state solution is a fixed value of $$y$$ for which $$dy/dx$$ is $$0$$ and so $$y$$ does not have to change as the state evolves.
In this case, $$(y=0)\rightarrow (dy/dx=0)$$ so that is all you need.