Question

Which of the following is an example of non-linear differential equation?
a) y=mx+c
b) x+x’=0
c) x+x2=0
d) x”+2x=0​

Answer 1

Answer:

x"+2x=0 is an example of non linear differential equation

Answer 2

NON LINEAR DIFFERENTIAL EQUATION

(D) x'' + 2x = 0

is an example of non linear differential equation.

EXPLANATION :

* Although some nonlinear differential equations have precise solutions, many that are significant in applications do not. These equations can sometimes be linearized using an expansion technique that eliminates non-linear variables.

* This cannot be done when non linear terms are critical to the solution, although it is frequently sufficient to keep a few "minor" ones. A differential equation can be approximated in more than one way by an equation with tiny non linearities, resulting in distinct solutions valid over different parameter ranges.