The presence of any term that is not a constant or a multiple of the independent variable.
It can be any other power of that variable, or a trigonometric or exponential or any other function.
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In a nonlinear equation, each variable must only have one solution.
To do things no one thing can do
Yes
True
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.