November 2

section covered in text

4.7.   Superposition and Nonhomogeneous Equations
 

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

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

• finding a general solution for a nonhomogeneous equation, #2,5,9
• using the superposition principle, #12. a,c,d
• using linear operators to find unique solution, #14a
• using reduction of order procedure, #18,19, 20