Quiz19Solutions - y ! 9 y = y = a (1 + 9 2 x 2 + 3 2 x 3 !...

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Math 3323 - Fall 2009 Quiz #19 Answers ( Recall that y ( x ) =x is a solution to all of these, and so should appear as part of the general solution. ) Your Problem General Solution (1 ! x ) "" y + 2 x " y ! 2 y = 0 y = a 0 (1 + x 2 + 1 3 x 3 ! 1 15 x 5 + ! ) + a 1 x (1 ! x ) "" y + 3 x " y ! 3 y = 0 y = a 0 (1 + 3 2 x 2 + 1 2 x 3 ! 1 8 x 4 ! 9 40 x 5 + ! ) + a 1 x (1 ! x ) "" y + 4 x " y ! 4 y = 0 y = a 0 (1 + 2 x 2 + 2 3 x 3 ! 1 3 x 4 ! 7 15 x 5 + ! ) + a 1 x (1 ! x ) "" y + 6 x " y ! 6 y = 0 y = a 0 (1 + 3 x 2 + x 3 ! x 4 ! 6 5 x 5 + ! ) + a 1 x (1 ! x ) "" y + 7 x " y ! 7 y = 0 y = a 0 (1 + 7 2 x 2 + 7 6 x 3 ! 35 24 x 4 ! 203 120 x 5 + ! ) + a 1 x (1 ! x ) "" y + 8 x " y ! 8 y = 0 y = a 0 (1 + 4 x 2 + 4 3 x 3 ! 2 x 4 ! 34 15 x 5 + ! ) + a 1 x (1 ! x ) "" y + 9 x "
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Unformatted text preview: y ! 9 y = y = a (1 + 9 2 x 2 + 3 2 x 3 ! 21 8 x 4 ! 117 40 x 5 + ! ) + a 1 x (1 ! x ) "" y + 12 x " y ! 12 y = y = a (1 + 6 x 2 + 2 x 3 ! 5 x 4 ! 27 5 x 5 + ! ) + a 1 x...
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