Aug24

March 24

section covered in text

4.7. Superposition and Nonhomogeneous Equations

objective

to be able to find the general solution to a nonhomogeneous equation
to be able to use differential operators to find solutions

key ideas and/or vocabulary

Theorem 5. Superposition Principle. The linear combination of solutions is a solution.
Theorem 6. Representation of Solutions. Linear combinations of heneral and particular solution.
nonhomogeneous equations

solved problems - using key ideas

finding a general solution for a nonhomogeneous equation, #1,5,6
using the superposition principle, #12. b,c
using linear operators to find unique solution, #14b
using reduction of order procedure, #19, 20

announcements
Homework: #2,4,8,12.a, 14.a (due 4/2)

QUESTION OF THE DAY

The voltage, V, of an electrical outlet in a home is given as a funcion of time, t (in seconds), by
V = V₀ cos(120 Pi t).
a. What is the period of oscillation?
b. What does V₀ represent?

SOLUTION

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SOLUTION.

a. 1/60 second
b. The maximum voltage

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