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.
Solution Preview
Hello
Please find the solution in the attached file.
Here given differential equation is
........................................(1)
(a) Here x = 0 ...
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