DLMF:10.61.E4 (Q3793)

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DLMF:10.61.E4
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    x 4 ⁢ d 4 w d x 4 + 2 ⁢ x 3 ⁢ d 3 w d x 3 - ( 1 + 2 ⁢ ν 2 ) ⁢ ( x 2 ⁢ d 2 w d x 2 - x ⁢ d w d x ) + ( ν 4 - 4 ⁢ ν 2 + x 4 ) ⁢ w = 0 , superscript 𝑥 4 derivative 𝑤 𝑥 4 2 superscript 𝑥 3 derivative 𝑤 𝑥 3 1 2 superscript 𝜈 2 superscript 𝑥 2 derivative 𝑤 𝑥 2 𝑥 derivative 𝑤 𝑥 superscript 𝜈 4 4 superscript 𝜈 2 superscript 𝑥 4 𝑤 0 {\displaystyle{\displaystyle x^{4}\frac{{\mathrm{d}}^{4}w}{{\mathrm{d}x}^{4}}+% 2x^{3}\frac{{\mathrm{d}}^{3}w}{{\mathrm{d}x}^{3}}-(1+2\nu^{2})\left(x^{2}\frac% {{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}-x\frac{\mathrm{d}w}{\mathrm{d}x}\right)% +(\nu^{4}-4\nu^{2}+x^{4})w=0,}}
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    DLMF id
    DLMF:10.61.E4
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