Multiple choice Solution of the differential equation $3y \frac{dy}{dx} + 2x$= 0 represents a family of ellipses circles parabolas hyperbolas Reveal answer Fill a bubble to check yourself A Correct answer Explanation The equation 3y(dy/dx) + 2x = 0 can be rewritten as 3y dy = -2x dx. Integrating both sides gives 3/2 * y^2 = -x^2 + C, or x^2 + 1.5y^2 = C, which is the standard form of an ellipse.