A continuous-time system is governed by the equation 3y3(t)

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A continuous-time system is governed by the equation
3y³(t) + 2y²(t) + y(t) = x²(t) + x(t)
{y(t) and x(t) respectively are output and input}. The system is—

1. linear and dynamic
2. linear and non-dynamic
3. non-linear and dynamic
4. non-linear and non-dynamic

Correct Option: D

The given continuous-time system equation
3y³(t) + 2y²(t) + y(t) = x²(t) + x(t)
● is non-linear, since there is square terms in input as well in output.
● is non-dynamic since the equation does not represents integro-differential equation form.