How is this system nonlinear

1. How do you know if a system is nonlinear?
2. What makes a system nonlinear?
3. Is this system linear or nonlinear?
4. How can we say that a system of equation is nonlinear?

How do you know if a system is nonlinear?

Generally, if the equation describing the system contains square or higher order terms of input/output or product of input/output and its derivatives or a constant, the system will be a non-linear system. Triangulation of GPS signals is an example of non-linear system.

What makes a system nonlinear?

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.

Is this system linear or nonlinear?

If the relationship between y and x is linear (straight line) and crossing through origin then the system is linear. If you find any time t at which the system is not linear then the system is non-linear.

How can we say that a system of equation is nonlinear?

A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear. Recall that a linear equation can take the form Ax+By+C=0. Any equation that cannot be written in this form in nonlinear.