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 Cot

 http://functions.wolfram.com/01.09.13.0001.01

 Input Form

 Derivative[1][w][z] + w[z]^2 + 1 == 0 /; w[z] == Cot[z] && w[Pi/2] == 0

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29