DLMF:2.7.E31 (Q925)

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DLMF:2.7.E31
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    Statements

    Defining formula
    d 2 w d x 2 = ( x + ln ⁡ x ) ⁢ w , derivative 𝑤 𝑥 2 𝑥 𝑥 𝑤 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}=(x+\ln x% )w,}}
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    DLMF id
    DLMF:2.7.E31
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    constraint
    0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
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    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2addec
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    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
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    Q11043
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C2.S7.XMD1.m1cdec
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