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    Integrate the differential equation

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    (x^2 + 3y^2) dx - 2xydy = 0
    Integrate the differential equation. Complete step by step work must be shown and reduced into lowest terms.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:27 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integrate-differential-equation-22185

    Solution Preview

    (x^2 + 3y^2)dx = 2xydy
    Put, y = vx
    => dy = vdx + xdv
    Hence, equation becomes,
    (x^2 + 3x^2v^2)dx = 2x.v.x(vdx + xdv)
    => (x^2 + 3x^2v^2)dx = 2x^2v^2dx + 2x^3vdv
    => (x^2 + ...

    Solution Summary

    This shows how to integrate a given differential equation.

    $2.19

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