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Formula:441

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Digital Library of Mathematical Functions ID 1.13.E8

d 2 w d z 2 + f ⁢ ( z ) ⁢ d w d z + g ⁢ ( z ) ⁢ w = r ⁢ ( z ) derivative 𝑤 𝑧 2 𝑓 𝑧 derivative 𝑤 𝑧 𝑔 𝑧 𝑤 𝑟 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+f(z)% \frac{\mathrm{d}w}{\mathrm{d}z}+g(z)w=r(z)}}


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 $$x$$
  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : solution
  • r ⁢ ( z ) 𝑟 𝑧 {\displaystyle{\displaystyle r(z)}} : analytic function
  • f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}} : analytic coefficient
  • g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}} : analytic coefficient
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:29.
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