noun
non-trivial solution
Mathematics term for a solution that is not the trivial (zero or obvious) one, often in the context of equations or systems.
この方程式の非自明解を求めよ。
Find a non-trivial solution to this equation.
自明解 means 'trivial solution', the obvious or zero solution, while 非自明解 is its opposite, a non-trivial solution.
Compound of 非 (non-) + 自明 (self-evident, trivial) + 解 (solution), a straightforward technical term in mathematics.