Expression 9: "x" Subscript, 1 , Baseline equals "s" left parenthesis, "y" , "x" Subscript, 0 , Baseline , right parenthesisx1=sy,x0
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Expression 10: "x" Subscript, 2 , Baseline equals "s" left parenthesis, "y" , "x" Subscript, 1 , Baseline , right parenthesisx2=sy,x1
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Expression 11: "x" Subscript, 3 , Baseline equals "s" left parenthesis, "y" , "x" Subscript, 2 , Baseline , right parenthesisx3=sy,x2
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Expression 12: "x" equals "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "s" left parenthesis, "y" , "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesis , right parenthesisx=sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,sy,x0
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trying with order2 Taylor series
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Expression 14: "S" left parenthesis, "y" , "x" Subscript, "p" , Baseline , right parenthesis equals "x" Subscript, "p" , Baseline plus StartFraction, negative "f" prime left parenthesis, "x" Subscript, "p" , Baseline , right parenthesis plus StartRoot, "D" left parenthesis, "y" , "x" Subscript, "p" , Baseline , right parenthesis , EndRoot Over "f" prime prime left parenthesis, "x" Subscript, "p" , Baseline , right parenthesis , EndFractionSy,xp=xp+−f′xp+Dy,xpf′′xp
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Expression 15: "D" left parenthesis, "y" , "x" Subscript, "p" , Baseline , right parenthesis equals "f" prime left parenthesis, "x" Subscript, "p" , Baseline , right parenthesis squared minus 2 "f" prime prime left parenthesis, "x" Subscript, "p" , Baseline , right parenthesis times left parenthesis, "f" left parenthesis, "x" Subscript, "p" , Baseline , right parenthesis minus "y" , right parenthesisDy,xp=f′xp2−2f′′xp·fxp−y
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Expression 16: "X" Subscript, 1 , Baseline equals "S" left parenthesis, "y" , "x" Subscript, 0 , Baseline , right parenthesisX1=Sy,x0
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Expression 17: "X" Subscript, 2 , Baseline equals "S" left parenthesis, "y" , "X" Subscript, 1 , Baseline , right parenthesisX2=Sy,X1
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Expression 18: "X" Subscript, 3 , Baseline equals "S" left parenthesis, "y" , "X" Subscript, 2 , Baseline , right parenthesisX3=Sy,X2