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Formula:9906

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Digital Library of Mathematical Functions ID 32.3.E2

d 2 u d x 2 = 3 ⁢ u 5 + 2 ⁢ x ⁢ u 3 + ( 1 4 ⁢ x 2 - ν - 1 2 ) ⁢ u , derivative 𝑢 𝑥 2 3 superscript 𝑢 5 2 𝑥 superscript 𝑢 3 1 4 superscript 𝑥 2 𝜈 1 2 𝑢 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}x}^{2}}=3u^{5}% +2xu^{3}+\left(\tfrac{1}{4}x^{2}-\nu-\tfrac{1}{2}\right)u,}}


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 $$x$$
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : parameter
  • u k ⁢ ( x ; ν ) subscript 𝑢 𝑘 𝑥 𝜈 {\displaystyle{\displaystyle u_{k}(x;\nu)}} : solution
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This page was last edited on 28 January 2024, at 10:02.
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