# ass3 - AMATH 351 Assignment No 3 Fall 2005 Due Friday...

This preview shows pages 1–2. Sign up to view the full content.

AMATH 351 Assignment No. 3 Fall 2005 Due: Friday, October 7, 2005, 1:30 p.m.. (You can slide it under my door if I am not in my office.) Unless otherwise indicated, all power series solutions are to be about the point x 0 = 0. In each question, justify the type of power series solution being assumed by indicating the nature of the point x = 0 in the DE, i.e., ordinary vs. singular, regular singular vs. irregular singular. 1. Find two linearly independent series solutions to Airy’s DE, y ′′ + xy = 0 , (1) for x 0. Write explicitly the first three nonzero terms of each series. You do not have to determine the general form of the coefficients. What do you expect to be the radius of convergence of the series? Why? 2. Find two linearly indpendent series solutions to the DE, 4 xy ′′ + 2 y + y = 0 , (2) for x 0. Write explicitly the first three nonzero terms of each series. You do not have to determine the general form of the coefficients.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern