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Question: Ordinary differential equation with singularity

Question:Ordinary differential equation with singularity

SIMBA 20 Maple 2018
ode dsolve differential-equations singularity spherical-coordinates
April 21 2020
1

Dear All, 

 

I am trying to solve the following differential equation, which is a kind of Spherical Harmonics. Can anyone please help me out how to solve this?

((D@@2)(y))(r)+(D(y))(r)/r-sin(y(r))*cos(y(r))/r^2+sin(y(r))^2/r-sin(y(r))-sin(2*y(r)) = 0

 

Thanks 
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