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    Differential Equation with a Natural Log

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    Find a general solution for this differential equation.
    Please see the attached file for the fully formatted problem.
    dy/dx + 2xy = xe^(-x2+2)

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    Solution Preview

    Solution. First, we find the general solution for y'+2xy=0, ie.,
    Integrating on both sides we get,
    So y=Ce^(-x^2).

    Then, for the diff. equation dy/dx+2xy=xe^(-x^2+x) (1)
    We assume that ...

    Solution Summary

    A differential equation with a Natural Log is solved