Question: For a system to be linear, it must satisfy both the homogeneity (i.e. scaling) property and the superposition (i.e. additive) property. Suppose the output y(t)

For a system to be linear, it must satisfy both the homogeneity (i.e. scaling) property and the superposition (i.e. additive) property. Suppose the output y(t) of a system relates to the input x(t) by the equation. To avoid trouble with division by zero, assume that x(t)dt is never zero. y(t) = x2 x(t)dt Test this system for both homogeneity property and superposition property. Is the system linear

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