Section 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
nonhomogeneous equations
Theorem 5. Superposition Principle.
Theorem 6. Representation of Solutions. Linear combinations
of general and particular solution.
solved problems - using key ideas
finding a general solution for a nonhomogeneous equation,
#2,5,9
using the superposition principle, #12. a,d
using reduction of order procedure, #18,19
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?
