Power Series
52 min 5 Examples
- Power Series & Taylor Series Expansions Review
- Reindexing Steps and Shifting Summation Index (Examples #1-2)
- Shifting Summation Index (Examples #3-4)
- Verify Power Series as a Solution of DE (Example #5)
Series Solutions
1 hr 31 min 8 Examples
- Ordinary Points, Singular Points, and Analytic Functions (Examples #1-4)
- Series Solution for Homogeneous Linear Higher Order DEs
- First-Order ODE Series Solution (Example #5)
- Higher-Order ODE Series Solution (Example #6)
- Series Solutions Application (Examples #7-8)
Chapter Test
54 min 5 Examples
- Single Power Series Rewrite (Problem #1)
- Singular Points of DE (Problems #2a-b)
- Verify Power Series as DE Solution (Problem #3)
- Power Series Solution at Ordinary Point (Problems #4-5)