Lamé Functions - 29.11 Lamé Wave Equation

DLMF Formula Constraints Maple Mathematica Symbolic
Maple Symbolic
Mathematica Numeric
Maple Numeric
Mathematica

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+(h-\nu% (\nu+1)k^{2}{\operatorname{sn}^{2}}\left(z,k\right)+k^{2}\omega^{2}{% \operatorname{sn}^{4}}\left(z,k\right))w=0}}

\deriv[2]{w}{z}+(h-\nu(\nu+1)k^{2}\Jacobiellsnk^{2}@{z}{k}+k^{2}\omega^{2}\Jacobiellsnk^{4}@{z}{k})w = 0

diff(w, [z$(2)])+(h - nu*(nu + 1)*(k)^(2)* (JacobiSN(z, k))^(2)+ (k)^(2)* (omega)^(2)* (JacobiSN(z, k))^(4))*w = 0

D[w, {z, 2}]+(h - \[Nu]*(\[Nu]+ 1)*(k)^(2)* (JacobiSN[z, (k)^2])^(2)+ (k)^(2)* \[Omega]^(2)* (JacobiSN[z, (k)^2])^(4))*w == 0

Failure

Failed [300 / 300]

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