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    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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    https://brainmass.com/math/calculus-and-analysis/differential-equation-calculated-226420

    Solution Preview

    Hello

    Please find the solution in the attached file.

    Here given differential equation is
    ........................................(1)
    (a) Here x = 0 ...

    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.

    $2.49

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