Nov 29 - Solutions to Differential Equations

Though we are in a new chapter (and starting a new section today), in fact the work that you are doing is wholly review. Each of the problems in the assignment tonight is either finding a derivative or finding an integral. Review.

I worked three examples in class today. The second really emphasizes that many differential equations don't have easily findable solutions and so verifying that a function is a solution is actually a viable method for solving diff eqns. The third example is motivated by simple harmonic motion and I showed the differential equation that is derived from a combination of Hooke's Law and Newton's Second Law. This is a nice application of the math, but you are not responsible for it in BC Calc.

Notes from today are posted below.