Find the equation of a curve passing through the point given that at any point ( ) on…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

17. Find the equation of a curve passing through the point

(0,-2)

given that at any point (

x, y

) on the curve, the product of the slope of its tangent and

y

coordinate of the point is equal to the

x

coordinate of the point.