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 Power

 http://functions.wolfram.com/01.02.13.0001.01

 Input Form

 z Derivative[1][w][z] - a w[z] == 0 /; w[z] == z^a /; w[1] == 1

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29