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    Find the general solution of xy' - y = 2y (ln y - ln x).

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    Find the general solution, if possible. Otherwise find a relation that defines the solutions implicitly:

    xy' - y = 2y (ln y - ln x)

    © BrainMass Inc. brainmass.com February 24, 2021, 2:19 pm ad1c9bdddf
    https://brainmass.com/math/algebra/find-general-solution-13772

    Solution Preview

    xy' - y = 2y(ln y - ln x)

    put, y = vx
    y' = dy/dx = v + x dv/dx
    hence,
    xv + x^2 ...

    Solution Summary

    This shows how to find the general solution of a differential equation.

    $2.19

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