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    Differential equation

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    Find the general solution of the differential equation: y'' - 2y' + y = (e^x)/x

    © BrainMass Inc. brainmass.com December 15, 2022, 4:17 pm ad1c9bdddf

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    Taking the homogeneous part as: y''-2y'+y =0
    we get the characteristic equation as r^2 - 2r + 1 = 0,
    or (r-1)^2 = 0
    whose solution is given as: r1=1, r2=1
    Here r1 = ...

    Solution Summary

    The expert finds the general solution of the differential equations.