supplement to BOB p8 - Supplement to BOB (page 8) 5.4, #4...

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Supplement to BOB (page 8) 5.4, #4 , ;œ! <œ! !! $" ## (the order may be reversed) +B CœB EB "7 # 7 7œ! 7œ! __ 7 7 " # 5.4, #14 , :œ" <œ!! CœC B # " 7 7œ! 7œ" 77 ln 5.4, #10 Hopefully you have these forms: Cœ5 C BB # " 7 #7 " 7 7œ! 7œ! ln HINT: In , turns out to be zero. Therefore you may ignore the term with the logarithm C5 # and just work out . " 7 7œ! _ ! CœB " B B Bâ " %' ’“ "* " $ #& '$ $ ' B "BB Bâ # " # % ' "$ ( #)% ) 5.4, #11 The closest singular point to other than itself is , so . Thus any series about " . œ " ! in the solution of this DE is guaranteed to converge at least on the interval
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