Degree of Differential Equation/Examples

Examples of Degree of Differential Equation

First Degree Second Order

The differential equation:

$\dfrac {\d^2 y} {\d x^2} = k x$

is an example of an order $2$ ordinary differential equation of degree $1$.

Second Degree Second Order

The differential equation:

$\paren {\dfrac {\d^2 y} {\d x^2} }^2 = k x$

is an example of an order $2$ ordinary differential equation of degree $2$.