1.

The differential equation of the system of circles touching the y-axis at the origin is

A. \({x^2} + {y^2} - 2xy\frac{{dy}}{{dx}} = 0\)
B. \({x^2} + {y^2} + 2xy\frac{{dy}}{{dx}} = 0\)
C. \({x^2} - {y^2} + 2xy\frac{{dy}}{dx} = 0\)
D. \({x^2} - {y^2} - 2xy\frac{{dy}}{{dx}} = 0\)
Answer» D. \({x^2} - {y^2} - 2xy\frac{{dy}}{{dx}} = 0\)


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