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    Integrating Factors

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    Using: d tan^-1 (x/y)=(y dx - x dy)/(x^2 + y^2), and ½ d ln(x^2 + y^2)=(x dx + y dy)/(x^2 + y^2) find integrating factors for, and solve, the following equation:
    (2x^(2)y + 2y^3 - x) (dy/dx) + y=0

    © BrainMass Inc. brainmass.com May 24, 2023, 1:14 pm ad1c9bdddf

    Solution Preview

    your tan^-1 (x/y) means tan(x/y). Then the formula
    d tan^-1 (x/y)=(y dx - x ...

    Solution Summary

    This shows how to find integrating factors and solve an equation.