Which of the following is an example of nonlinear differential equation?

1. Which of the following is an example of non-linear differential equation? Explanation: For a differential equation to be linear the dependent variable should be of first degree. Since in equation x+x2=0, x2 is not a first power, it is not an example of linear differential equation.

Are there unsolvable differential equations?

In mathematics, an inseparable differential equation is an ordinary differential equation that cannot be solved by using separation of variables. To solve an inseparable differential equation one can employ a number of other methods, like the Laplace transform, substitution, etc.

What is nonlinear differential equation?

A non-linear differential equation is a differential equation that is not a linear equation in the unknown function and its derivatives (the linearity or non-linearity in the arguments of the function are not considered here).

Can we solve non linear differential equation?

We know how to solve a linear algebraic equation, x = −b/a, but there are no general methods for finding the exact solutions of nonlinear algebraic equations, except for very special cases (quadratic equations are a primary example). A nonlinear algebraic equation may have no solution, one solution, or many solutions.

Which of the following is non linear equation?

An equation in which the maximum degree of a term is 2 or more than two is called a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, this is the example of nonlinear equations, because equation 1 has the highest degree of 2 and the second equation has variables x and y.

What makes a differential equation nonlinear?

Non-linear. Linear just means that the variable in an equation appears only with a power of one. So x is linear but x2 is non-linear. Also any function like cos(x) is non-linear.

What are linear and nonlinear differential equation with example?

A Linear equation can be defined as the equation having a maximum of only one degree. A Nonlinear equation can be defined as the equation having the maximum degree 2 or more than 2. A linear equation forms a straight line on the graph. A nonlinear equation forms a curve on the graph.