Determine the general solution of the differential equation dydx=x2y2\frac{dy}{dx} = \frac{x^2}{y^2}dxdy=y2x2.
y=x+Cy = x + Cy=x+C
y3=x3+Cy^3 = x^3 + Cy3=x3+C
y3=13x3+Cy^3 = \frac{1}{3}x^3 + Cy3=31x3+C
y3=x3+C′y^3 = x^3 + C'y3=x3+C′