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what is the definition of a nonlinear equation. It has a complex-valued. Nonlinear algebraic equations which are also called polynomial equations are defined by equating polynomials of degree greater than one to zero.
For example For example x 2 x 1 0. Now in order for this to be a linear equation the ratio between our change in y and our change in x has to be constant. Its shorthand for change in Well our change in y when x increased by 4 our y-value went from 4 to 3.
It forms a curve and if we increase the value of the degree the curvature of the graph increases.
A nonlinear equation has the degree as 2 or more than 2 but not less than 2. Nonlinear differential equations are difficult to solve therefore close study is required to obtain a correct solution. Now in order for this to be a linear equation the ratio between our change in y and our change in x has to be constant. A nonlinear equation has the degree as 2 or more than 2 but not less than 2.