Slope of tangent

Question

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (2, 1) is a point on the curve?

x + y = 3

x2 - y2 = 3

x2 + y2 = 3

xy = 3

Answer 1

Try setting up and then solving a differential equation based on the given information.