User:Egm6321.f10.team1.allen/HW5

Solution
First, solve r to satisfy this set of equations.

substitute 7.2-7.4 into 7.1 cancel out exponentials

factor in terms of x

for non-trivial solution satisfy two equations

Put 7.1 in the proper form

such that

Then use the trial solution method to find another solution.

Specifically,

The first integral is carried through to yield: which simplifies to: further simplifying yields The second integral is carried through to yield: which simplifies to:

Author Egm6321.f10.team1.allison 00:33, 1 November 2010 (UTC) 173.24.228.78 05:47, 1 November 2010 (UTC)EGM6321,F10.TEAM1.WILKS 01:57, 2 November 2010 (UTC) Egm6321.f10.team1.allen 02:03, 2 November 2010 (UTC)