# Integrate the differential equation

(x^2 + 3y^2) dx - 2xydy = 0

Integrate the differential equation. Complete step by step work must be shown and reduced into lowest terms.

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