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 Sin

 http://functions.wolfram.com/01.06.13.0002.01

 Input Form

 Derivative[2][w][z] + w[z] == 0 /; w[z] == Subscript[c, 1] Cos[z] + Subscript[c, 2] Sin[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]\[Prime]", Rule[MultilineFunction, None]], "[", "z", "]"]], "+", RowBox[List["w", " ", "[", "z", "]"]]]], "\[Equal]", "0"]], " ", "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List[SubscriptBox["c", "1"], " ", RowBox[List["Cos", "[", "z", "]"]]]], "+", RowBox[List[SubscriptBox["c", "2"], " ", RowBox[List["Sin", "[", "z", "]"]]]]]]]]]]]]

 MathML Form

 w ′′ ( z ) + w ( z ) 0 /; w ( z ) c 1 cos ( z ) + c 2 sin ( z ) Condition z 2 w z w z 0 w z Subscript c 1 z Subscript c 2 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]], "+", RowBox[List["w", "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List[RowBox[List[SubscriptBox["c", "1"], " ", RowBox[List["Cos", "[", "z", "]"]]]], "+", RowBox[List[SubscriptBox["c", "2"], " ", RowBox[List["Sin", "[", "z", "]"]]]]]]]]]]]]]]

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

 2001-10-29