A "trivial solution" refers to a simple or basic solution to a problem, often in mathematics or physics. In many cases, it is the most straightforward answer, such as when all variables equal zero. For example, in a system of linear equations, the trivial solution is when all the variables are set to zero, which satisfies the equation without any complexity. In the context of differential equations, a trivial solution can indicate a lack of interesting behavior. It serves as a baseline to compare with non-trivial solutions, which provide more complex and meaningful insights into the system being studied. Understanding trivial solutions helps in analyzing the overall behavior of mathematical models.