Determine the Given system is linear or nonlinear [closed]

1. How do you determine if a system is linear or nonlinear?
2. Which of the system is non-linear?
3. What makes a system linear?
4. What are the main differences between linear and nonlinear systems?

How do you determine if a system is linear or nonlinear?

To determine if a system is linear, we need to answer the following question: When an input signal is applied to the system, does the output response exhibit homogeneity and additivity? If a system is both homogeneous and additive, it is a linear system.

Which of the system is non-linear?

In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature.

What makes a system linear?

A system is linear if and only if it satisfies the superposition principle, or equivalently both the additivity and homogeneity properties, without restrictions (that is, for all inputs, all scaling constants and all time.)

What are the main differences between linear and nonlinear systems?

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.