A curve passes through the point `(5,3)` and at any point `(x,y)` on it, the product of its slope and the ordinate is equal to its abscissa. Find the equation of the curve and identify it.

Find the equation of the 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.

A curve passing through the point (1,2) and satisfying the condition that slope of the normal at any point is equal to the ratio of ordinate and abscissa of that point , then the curve also passes through the point

Find the equation of a curve passing through the point (0, 1) if the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point(4,3). The equation of the curve is:

If a curve passes through the point (2,7/2) and has slope (1-1/x^2) at any point (x,y) on it, then the ordinate of the point on the curve whose abscissa is -2 is: (A) 5/2 (B) 3/2 (C) -3/2 (D) -5/2

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point

The slope of the tangent at any arbitrary point of a curve is twice the product of the abscissa and square of the ordinate of the point. Then, the equation of the curve is (where c is an arbitrary constant)