Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

The equation of the curve which is such that the portion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is

The abscissa of every point on y-axis is .....

Find the equation of the curve passing through the origin if the middle point of the segment of its normal from any point of the curve to the x-axis lies on the parabola 2y^2=x

Find the equation of a curve passing through the origin, given that the slope of the tangent of the curve at any point (x,y) is equal to tha sum of the coordinates of the point.

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.

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 tanget and y coordinate of the point is equal to the x coordinate of the point.

Find the equation of a line which passes through the point (2,3) and which has equal intercepts on the axes.

Find the points on the curve y = x 3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the equation of a line which passes through the point (2,3,4) and which has equal intercepts on the axes.

Find the equation of the 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))