Explore BrainMass

Explore BrainMass

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

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 November 24, 2022, 11:41 am ad1c9bdddf

    Solution Preview

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

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

    Solution Summary

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