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    Differential equation

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    Please help me to solve attached problem.

    1. Determine whether one of the solutions of the differential equation
    x^2y" + xy' + (x^2 -1/4)y =0 on 0<x<infinity is y(x) = x^-1/2sinx

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    https://brainmass.com/math/calculus-and-analysis/differential-equation-function-determination-172472

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    1. Determine whether one of the solutions of the ...

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    This shows how to determine if a differential equation's solution has been given.

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