x^2\left(y^{\prime}\right)^2+3xyy^{\prime}+2y^2=0\\
\Delta=9x^2y^2-8x^2y^2=x^2y^2\\
y^{\prime}=\frac{-3xy\mp xy}{2x^2}\\
y^{\prime}=-\frac{y}{x}\\
\frac{\mbox{d}y}{\mbox{d}x}=-\frac{y}{x}\\
\frac{\mbox{d}y}{y}=-\frac{\mbox{d}x}{x}\\
\ln{|y|}=-\ln{|x|}+C\\
y=\frac{C}{x}\\
y^{\prime}=-\frac{2y}{x}\\
\frac{\mbox{d}y}{\mbox{d}x}=-\frac{2y}{x}\\
\frac{\mbox{d}y}{y}=-\frac{2\mbox{d}x}{x}\\
\ln{|y|}=-2\ln{|x|}+C\\
y=\frac{C}{x^2}\\
y=\frac{C}{x} \vee y=\frac{C}{x^2}