Mathieu Functions and Hill’s Equation - 28.33 Physical Applications

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DLMF Formula Constraints Maple Mathematica Symbolic
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28.33.E1 2 W x 2 + 2 W y 2 - ρ τ 2 W t 2 = 0 partial-derivative 𝑊 𝑥 2 partial-derivative 𝑊 𝑦 2 𝜌 𝜏 partial-derivative 𝑊 𝑡 2 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}W}{{\partial x}^{2}}+\frac{{% \partial}^{2}W}{{\partial y}^{2}}-\frac{\rho}{\tau}\frac{{\partial}^{2}W}{{% \partial t}^{2}}=0}}
\pderiv[2]{W}{x}+\pderiv[2]{W}{y}-\frac{\rho}{\tau}\pderiv[2]{W}{t} = 0

diff(W, [x$(2)])+ diff(W, [y$(2)])-(rho)/(tau)*diff(W, [t$(2)]) = 0
D[W, {x, 2}]+ D[W, {y, 2}]-Divide[\[Rho],\[Tau]]*D[W, {t, 2}] == 0
Successful Successful - Successful [Tested: 300]