What does "trivial solution" mean? What does "trivial solution" mean exactly?
Must the trivial solution always be equal to the zero-solution (where all unknowns/variables are zero)?

Depending on the context, trivial solutions can be:


*

*the zero function $y = 0$

*singular solutions of the differential equation (e.g. where you divide by $0$ in the process of solving the differential equation)

*constant functions $y = c, c \in \mathbb{R}$

*or just solutions which one can see immediately


However, I would use the the term 'trivial solution' for the zero function only, as this is the most common use of that term in mathematics (e.g. the center of that group is non- trivial (for p-groups), the solution set of that system of equations is trivial, etc.)
