Non-examples of linear equations include any equations that involve variables raised to powers other than one, such as quadratic equations (e.g., (y = x^2 + 3)) or cubic equations (e.g., (y = x^3 - 2x)). Additionally, equations that include products of variables (e.g., (y = xy + 1)) or functions like sine or cosine (e.g., (y = \sin(x))) are also non-linear. Graphically, these equations will not produce straight lines but rather curves or more complex shapes.
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