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Formula:904

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Digital Library of Mathematical Functions ID 2.8.E3

d 2 W d ξ 2 = ( u 2 ⁢ z ˙ 2 ⁢ f ⁢ ( z ) + ψ ⁢ ( ξ ) ) ⁢ W , derivative 𝑊 𝜉 2 superscript 𝑢 2 superscript ˙ 𝑧 2 𝑓 𝑧 𝜓 𝜉 𝑊 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}W}{{\mathrm{d}\xi}^{2}}=% \left(u^{2}\dot{z}^{2}f(z)+\psi(\xi)\right)W,}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}} : function
  • u 𝑢 {\displaystyle{\displaystyle u}} : large real or complex parameter
  • W 𝑊 {\displaystyle{\displaystyle W}} : change of variable
  • ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}} : function
  •  Edit this on Wikidata

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