This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 3. (10 points) Consider the following dierential equation ( x 2 tan x ) y = ( x 2tan x ) y. (a) (5 points) Solve the equation exactly. (b) (5 points) Using the y = e S method, derive the leading order behavior of the function near x = 0, and verify that it agrees with the exact solution. 4. (10 points) Consider the following dierential equation x 4 y 00x 2 y + 1 4 y = 0 . Determine the leadingorder behavior of the two solutions to the equation near x = 0 + . 5. (10 points) Consider the following dierential equation y 00 = xy Determine the leadingorder behavior of the two solutions to the equation near x = ....
View
Full
Document
This note was uploaded on 03/16/2010 for the course MAE 294b taught by Professor Young,w during the Fall '08 term at UCSD.
 Fall '08
 Young,W

Click to edit the document details