AMATH 568 HOMEWORK 6 Solved

Description

1. Consider the singular equation:
y00 + (1 + x)
2
y
0 + y = 0
with y(0) = y(1) = 1 and with 0 <   1.
(a) Obtain the leading order uniform solution using the WKB method.
(b) Plot the uniform solution for  = 0.01, 0.05, 0.1, 0.2.