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 JacobiCS

 http://functions.wolfram.com/09.27.13.0001.01

 Input Form

 Derivative[2][w][z] - w[z] (2 w[z]^2 - m + 2) == 0 /; w[z] == JacobiCS[z, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox["w", "\[DoublePrime]"], "[", "z", "]"]], "-", RowBox[List[RowBox[List["w", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", SuperscriptBox[RowBox[List["w", "[", "z", "]"]], "2"]]], "-", "m", "+", "2"]], ")"]]]]]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]

 MathML Form

 w ( z ) - w ( z ) ( 2 w ( z ) 2 - m + 2 ) 0 /; w ( z ) cs ( z m ) Condition z 2 w z -1 w z 2 w z 2 -1 m 2 0 w z JacobiCS z m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]], "-", RowBox[List[RowBox[List["w", "[", "z_", "]"]], " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", SuperscriptBox[RowBox[List["w", "[", "z_", "]"]], "2"]]], "-", "m_", "+", "2"]], ")"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List["JacobiCS", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]]]

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

 2001-10-29