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    Singularity and Radius of Convergence

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    4. Determine two independent power series solution of the differential equation:
    See attachment for equation

    Find the radius of convergence of the series.

    5. Determine a solution of the differential equation:
    See attachment for equation

    © BrainMass Inc. brainmass.com October 10, 2019, 7:41 am ad1c9bdddf
    https://brainmass.com/math/basic-calculus/singularity-radius-convergence-591387

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    Please see the attachment for the full equations.

    Theorem:

    Let x_0 be an ordinary point of the differential equation
    L(y) = y'' + p(t)y' + q(t)y = 0
    Then the general solution can be represented by the power series

    where a_0 and ...

    Solution Summary

    This solution shows how to solve problems related to singularity and convergence radius.

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