There are several uses for second-order differential equations. In this chapter, I will cover the use of second-order differential equations to describe the motion of a mass at the end of a spring.

The chapter is broken up into three sections:

## Chapter NotationEdit

The formulae in this chapter are written with the following notation in mind. If you've learned a different manner of notation, please take note of the differences. I made every attempt to use a standard set of notation.

#### Important TermsEdit

Terms that I feel deserve your undivided attention will appear like **This**. You will see this term referred to often in the text that follows, so it's recommended that you fully understand what it means.

#### Derivatives with respect to timeEdit

If a derivation is taken with respect to time (t), then an equivalent symbol is used and is pronounced *x double-dot*, *x triple-dot*, etc.

- Example:

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