Question

Which of the following is a second order non-linear differential equation?

1) y'' + y² = 0
2) y'' + y = 0
3) y'' + y³ = 0
4) y'' + y² + y = 0

Answer 1

The second order non-linear differential equation is y'' + y³ = 0.

Step-by-step explanation:

Out of the given options, the second order non-linear differential equation is option 3) y'' + y³ = 0.

A second order non-linear differential equation is a differential equation where the highest power of the function or its derivatives is greater than 1. In option 3, the highest power of y or its derivative is 3, making it a second order non-linear differential equation.

Examples of second order non-linear differential equations include y'' + sin(y) = 0 and y'' + y*y' + 2 = 0.