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How do I solve the following Euler's equation:
[tex]r^2 B_n'' + r B_n' - n^2 B_n = 3 \delta_{n1} r^2[/tex]
Such that the solution is:
[tex]B_n(r) = \beta_n r^n + \delta_{n1}r^2, \forall n \ge 1[/tex]
where βn is a free coefficient, δ is the Kronecker delta function, and the solutions unbounded at r=0 are discarded.
[tex]r^2 B_n'' + r B_n' - n^2 B_n = 3 \delta_{n1} r^2[/tex]
Such that the solution is:
[tex]B_n(r) = \beta_n r^n + \delta_{n1}r^2, \forall n \ge 1[/tex]
where βn is a free coefficient, δ is the Kronecker delta function, and the solutions unbounded at r=0 are discarded.
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