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 Sqrt

 http://functions.wolfram.com/01.01.13.0002.01

 Input Form

 Derivative[1][w][z] - (1/(2 z)) w[z] == 0 /; w[z] == Sqrt[z] && w[1] == 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z", "]"]], "-", RowBox[List[FractionBox["1", RowBox[List["2", "z"]]], RowBox[List["w", "[", "z", "]"]]]]]], "\[Equal]", "0"]], " ", "/;", " ", RowBox[List[RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", SqrtBox["z"]]], "\[And]", RowBox[List[RowBox[List["w", "[", "1", "]"]], "\[Equal]", "1"]]]]]]]]

 MathML Form

 w ( z ) - 1 2 z w ( z ) 0 /; w ( z ) z w [ 1 ] 1 Condition z w z -1 1 2 z -1 w z 0 w z z 1 2 w 1 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]], "-", FractionBox[RowBox[List["w", "[", "z_", "]"]], RowBox[List["2", " ", "z_"]]]]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", SqrtBox["z"]]], "&&", RowBox[List[RowBox[List["w", "[", "1", "]"]], "\[Equal]", "1"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29