# Differential equation

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Consider  the  differential  equation 

 

y'' +(1/x)y'-(1+9/(4x^2))y=0

1. Determine the location and type of all singular points.

2. For regular singular points, determine the indicial equation that gives the leading exponents of a Frobenius expansion.

3. Find a series solution about x=0 consisting of two linear independent solutions.

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##### Solution Summary

This provides an example of working with a differential equation to determine location and type of singular points and finding linear independent solutions.

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Hello

Please find the solution in the attached file.

Here given differential equation is

........................................(1)

(a) Here x = 0 ...

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