October 14

section covered in text

4.4.  Reduction of Order

objective

• to be able to find a second linearly independent solution, given one nontrivial solution

• reduction of order procedures
• power series expansion

solved problems - using key ideas

• derivation of reduction of order formula
• finding a second linearly independent solution using both procedures, #2
• reducing a homogeneous linear nth order equation, #7
• using power series representation to find a second solution, #10
• Legendre's equation, #14a
• Laguerre's equation, #15a

QUESTION OF THE DAY

Evaluate

SOLUTION

SOLUTION.