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Formula:3611

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Digital Library of Mathematical Functions ID 9.11.E6

∫ w 1 ⁢ w 2 ′ ⁢ d z = 1 2 ⁢ ( w 1 ⁢ w 2 + z ⁢ 𝒲 ⁡ { w 1 , w 2 } ) , subscript 𝑤 1 subscript superscript 𝑤 ′ 2 𝑧 1 2 subscript 𝑤 1 subscript 𝑤 2 𝑧 Wronskian subscript 𝑤 1 subscript 𝑤 2 {\displaystyle{\displaystyle\int w_{1}w^{\prime}_{2}\mathrm{d}z=\tfrac{1}{2}% \left(w_{1}w_{2}+z\mathscr{W}\left\{w_{1},w_{2}\right\}\right),}}


Constraint(s)

Symbols List

  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • w 𝑤 {\displaystyle{\displaystyle w}} : function
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This page was last edited on 28 January 2024, at 10:30.
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