Question: For the differential equation x2 y - x(2 + x) +(2+x2)y=0, 1. Find all regular singular points. 2. Determine the indicial equation and exponents at

For the differential equation x2 y" - x(2 + x) +(2+x2)y=0, 1. Find all regular singular points. 2. Determine the indicial equation and exponents at the singularity for each regular singular point.Show directly that the series for the Bessel function of the first kind of order zero 00 (-1)m x2m Jo(x) = m=0 22m(m!)2 converges absolutely for all x E R

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