Which one of the following is not a criterion for linearity of an equation?

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Criterion for Linearity of an Equation

Superposition: One of the criteria for the linearity of an equation is superposition. This means that the output resulting from the sum of two inputs is equal to the sum of the outputs resulting from each input separately.
Homogeneity: Another criterion for linearity is homogeneity. This states that if the input is multiplied by a constant, the output is also multiplied by the same constant.
Additivity: Additivity is also a criterion for linearity, which states that the output resulting from the sum of two inputs is equal to the sum of the outputs resulting from each input separately.

Independence: Independence of variables is not a criterion for linearity of an equation. Independence refers to the lack of correlation between variables, which does not necessarily impact the linearity of an equation. Linearity is determined by superposition, homogeneity, and additivity, rather than the independence of variables.

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