If a set of solutions to a differential equation have this property, their Wronskian [RAHN-skee-un] is nonzero.  
If a set of solutions to a differential equation have this property, their Wronskian [RAHN-skee-un] is nonzero.  The smallest set of vectors that span a vector space and have this property is known as a basis; this property for vectors implies that no nontrivial linear combination of them equals the zero vector. The rows of a matrix must have this quality for the matrix to be invertible. If two random variables satisfy this property, their correlation coefficient is zero, and if two events have this property, the probability of their intersection is the product of their probabilities.  Identify this property which in probability indicates that the result of one event has no effect on the result of another.
If a set of solutions to a differential equation have this property, their Wronskian [RAHN-skee-un] is nonzero.  
(linear or statistical) independence [accept word forms of independent]