Question

For the equation below, determine its order. Name the independent variable, the dependent variable, and any parameters in the equation. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) mx'' + bx' + kx = 8t6, assuming x is a function of t

Answer 1

The equation is an differential equation of second order.

The dependent variable is x, while t is the independent variable.

Explanation:

The order of the equation depends on the greatest grade of the derivative, in this case it's the second derivative (x'')

Since x is a function of t, we would have that t is the independent variable while x is the dependent variable.