This preview shows pages 1–16. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Assume both ends of the column are hinged, and solve. Power Series Solutions Consider the 2 ndorder homogeneous differential equation: Put it into standard form: Definition: f ( x ) is analytic at x means that is an ordinary point of Definition: A point x If Definition: A point x is a singular point of the equation if Lecture 8 Page 1 Theorem If x is an ordinary point of then we can always find two linearly independent solutions in the form of a power series at x 0. (Theses solutions will be convergent on some interval around x 0. ) Example Solve y + y = 0. Lecture 8 Page 2 Lecture 8 Page 3...
View
Full
Document
This note was uploaded on 11/10/2010 for the course DEFFERENTI 2080 taught by Professor Kidnan during the Spring '10 term at UOIT.
 Spring '10
 Kidnan

Click to edit the document details