Find the equation of a curve passing through the point `(1, 1)`, given that the segment of any tangent drawn to the curve between the point of tangency and the y-axis is bisected at the x-axis.

Find the equation of the curve passing through the point (1,1) , given that the slope of the tangent to the curve at any point is (2y)/( x)

Find the equation of the curve passing through the point (1,1) , given that the slope of the tangent to the curve at any point is (x)/( y)

Find the equation of a curve passing through the point (–2, 3), given that the slope of the tangent to the curve at any point (x, y) is 2x/y^2

Find the equation of the curve passing though the point (1, 1) given that the slope of the tangent to the curve at any point is y/x+1 .

Find the equation of a curve passing through the point (-2,3) , given that the slope of the tangent to the curve at any point (x, y) is (2 x)/y^2

The equation of a curve which passes through the point (3, 1), such the segment of any tangent between the point of tangency and the x-axis is bisected at its point of intersection with y-axis, is :

Find the equation of a curve passing through the point (2, 3) , given that the slope of the tangent to the curve at any point (x, y) is (2x)/(y^2) .