It is well known that if one is dealing with a homogeneous linear differential/recurrence relation, a linear combination of the solutions is also a solution. But is a partial converse true? Namely, if we ignore the trivial solution, if the solutions satisfy linearity, is the equation giving rise to those solutions necessarily linear?
2026-04-29 07:35:53.1777448153
linear differential(or recurrence) equation form
29 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORDINARY-DIFFERENTIAL-EQUATIONS
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