homework 7 solutions - Engineering Math Homework 7...

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Engineering Math Homework 7 Solutions Spring 2009 B C &BC Ð$B %ÑCœ! B œ! #w w w $ ! (1) The coefficients are variables, not constants. (2) The point is a singular point of the DE. ! (3) : œ & œ & ; œ Ð$B  %Ñ œ % !! BÄ! BÄ! $ lim lim <Ð<"Ñ&<%œ! < %<%œ! <œ#ß# # (4) C œ B+ B C œ C B BE B "7 # " 7 # 7 # 7 7œ! __ ln 1 (5) C œ + B C œ Ð7  #Ñ+ B C œ Ð7  #ÑÐ7  $Ñ+ B ! 7œ! 7œ! 7œ! _ 77 7 7# w 7$ ww 7% ! ! 7œ! 7œ! 7œ! 7œ! _ _ 7 777 7# 7# 7" 7# Ð7#ÑÐ7$Ñ+ B & Ð7#Ñ+ B $ + B % œ! ! ! 7œ! 7œ! 7œ$ 7œ! _ _ 7 $ 7 7# 7# 7# 7# + B '+ B  #+ B  "!+ B  &+ B  %+ B  %+ B  %+ !" !"!"# # " # " # " Ð7  #ÑÐ7  $Ñ+  &Ð7  #Ñ+  $+  %+ B œ ! ! ’“ 7œ$ _ 7 $ 7 7# %+  Ð7#ÑÐ7$Ñ+ &Ð7#Ñ+ $+ %+ B "# 7 7 7 $ 7 " 7# 7œ$ _ ! +œ! For 7   $ß Ð7  #ÑÐ7  $Ñ+  &Ð7  #Ñ+  $+
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This note was uploaded on 01/28/2010 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.

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homework 7 solutions - Engineering Math Homework 7...

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