html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Cosh

 http://functions.wolfram.com/01.20.13.0002.01

 Input Form

 Derivative[2][w][z] - w[z] == 0 /; w[z] == Subscript[c, 1] Cosh[z] + Subscript[c, 2] Sinh[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["Cosh", "[", "z", "]"]]]], "+", RowBox[List[SubscriptBox["c", "2"], RowBox[List["Sinh", "[", "z", "]"]]]]]]]]]]]]

 MathML Form

 w ′′ ( z ) - w ( z ) 0 /; w ( z ) c 1 cosh ( z ) + c 2 sinh ( z ) Condition z 2 w z -1 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["Cosh", "[", "z", "]"]]]], "+", RowBox[List[SubscriptBox["c", "2"], " ", RowBox[List["Sinh", "[", "z", "]"]]]]]]]]]]]]]]

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

 2001-10-29