Separation of Variables -- Legendre Equations - Louisiana Tech ...
Separation of Variables -- Legendre Equations - Louisiana Tech ...
Separation of Variables -- Legendre Equations - Louisiana Tech ...
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Introduction ∆ in a Spherically Symmetric Geometry Separating Spherical Coordinates Obtaining the <strong>Legendre</strong> Equation<br />
Separating the Equation ∆u = f (ρ)u (Polar Part)<br />
sin 2 (φ) P′′<br />
P<br />
+ sin(φ)cos(φ)P′<br />
P + λ sin2 (φ) = m 2<br />
logo1<br />
Bernd Schröder <strong>Louisiana</strong> <strong>Tech</strong> University, College <strong>of</strong> Engineering and Science<br />
<strong>Separation</strong> <strong>of</strong> <strong>Variables</strong> – <strong>Legendre</strong> <strong>Equations</strong>