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Formula:440

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Digital Library of Mathematical Functions ID 1.13.E7

d 2 w d z 2 + f ⁒ ( u , z ) ⁒ d w d z + g ⁒ ( u , z ) ⁒ w = 0 , derivative 𝑀 𝑧 2 𝑓 𝑒 𝑧 derivative 𝑀 𝑧 𝑔 𝑒 𝑧 𝑀 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+f(u,z)% \frac{\mathrm{d}w}{\mathrm{d}z}+g(u,z)w=0,}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 π‘₯ {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • z 𝑧 {\displaystyle{\displaystyle z}} : variable
  • f ⁒ ( u , z ) 𝑓 𝑒 𝑧 {\displaystyle{\displaystyle f(u,z)}} : analytic function of both variables
  • g ⁒ ( u , z ) 𝑔 𝑒 𝑧 {\displaystyle{\displaystyle g(u,z)}} : analytic function of both variables
  • w ⁒ ( u , z ) 𝑀 𝑒 𝑧 {\displaystyle{\displaystyle w(u,z)}} : solution
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