Generally, both types of equation contain an equals sign and some combination of numbers and/or variables. That is the only thing I can think of that is common between all types of nonlinear and linear equations.
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One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.
A linear equation is, basically, a line. An example is y=2x+3. They are commonly found in the form y=mx+b where m is the slope, and b is the y-intercept (where the line crosses the y-axis). A non-linear equation can be many things. Parabolas and exponential equations are not linear.
linear (A+)
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.