This week we will start with a discussion about differential equations. Hopefully this will tie together some of what you are seeing (or have seen) in MTH 256 (Diff Eq) as well as providing a context for why science and engineering are so driven by these remarkable math equations.

How is a differential equation different from a "normal" equation?

Is Newton's 2nd Law a differential equation?

What is the order of the differential equation?

What is the difference between linear and non linear equations - generally as well as for differential equations?

Is Newton's Law of cooling (that you studied in calculus) a differential equation?

Why do you think differential equations are so common?