October 21
section covered in text
4.6. Auxiliary Equations with Complex Roots
objective
-
to be able to use auxiliary equations with complex
roots to derive solutions
-
to be able to solve initial value problems
-
to be able to solve Cauchy-Euler equations
key ideas and/or vocabulary
-
Euler's formula
-
derivative of eix
-
derivatives of complex functions
-
real solutions derived from complex solutions
solved problems - using key ideas
-
finding general solutions when the auxiliary equation
has complex roots, #4
-
solving initial value problem, #22 (two ways if there
is time)
-
higher order equations, #29b (use calculator)
-
finding a general solution to a Cauchy-Euler equation,#33
-
vibrating spring with and without damping, #36,37
announcements
Homework: #2,12,21,23,29a,32 (due 10/28)
|
SOLUTION.
|
.