DLMF:19.18.E16 (Q6359)

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DLMF:19.18.E16
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    Statements

    Defining formula
    ∂ 2 ⁡ u ∂ ⁡ x 2 + ∂ 2 ⁡ u ∂ ⁡ y 2 + 1 y ⁢ ∂ ⁡ u ∂ ⁡ y = 0 , partial-derivative 𝑢 𝑥 2 partial-derivative 𝑢 𝑦 2 1 𝑦 partial-derivative 𝑢 𝑦 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}u}{{\partial x}^{2}}+\frac{{% \partial}^{2}u}{{\partial y}^{2}}+\frac{1}{y}\frac{\partial u}{\partial y}=0,}}
    0 references
    DLMF id
    DLMF:19.18.E16
    0 references
    Symbols used
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4agdec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2amdec
    0 references
     
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