Square root: Differential equations (formula 01.01.13.0004)

Sqrt

$Mathematica Notation$

Elementary Functions

Sqrt[z]

Differential equations

Ordinary linear differential equations and wronskians

For the direct function itself

http://functions.wolfram.com/01.01.13.0004.01

Input Form

Wronskian[Sqrt[z], Sqrt[z] Log[z], z] == 1

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Wronskian", "[", RowBox[List[SqrtBox["z"], ",", RowBox[List[SqrtBox["z"], RowBox[List["Log", "[", "z", "]"]]]], ",", "z"]], "]"]], "\[Equal]", "1"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <mi> W </mi> <mi> z </mi> </msub> <mo> ( </mo> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> , </mo> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> ⁢ </mo> <mrow> <mi> log </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mn> 1 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> z </ci> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <ln /> <ci> z </ci> </apply> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Wronskian", "[", RowBox[List[SqrtBox["z_"], ",", RowBox[List[SqrtBox["z_"], " ", RowBox[List["Log", "[", "z_", "]"]]]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", "1"]]]]

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

2001-10-29