Degree of Differential Equation/Examples/Second Degree Second Order

Example of Degree of Differential Equation

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 $2$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): differential equation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): differential equation