Differential Equations

What is the independent/dependent variable in dx/dt

Independent: t

Dependent: x

What is the order of a DE

the highest derivative present in the equation.

What is the order in the DE

4

How can you tell an ODE is Linear

The dependent variable y and all its derivatives appear to the first power only.

They are not multiplied by each other or by functions of y.

Coefficients can depend on x, but not on y or its derivatives.

Linear?

No

Solution to ODE’s

A function or set of functions that satisfies a given ordinary differential equation (ODE).

Is this a solution and what interval

Yes, interval is (-infinity, infinity)

Is this a solution and what interval

Yes, interval is (-infinity, 0) or (0, infinity)