Find the equation of a curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.

Find the equation of a curve passing through the point quad (-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 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 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))

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.

Obtain the equation of the curve passing through the point (4,3) and at any point the gradient of the tangent to the curve is the reciprocal of the ordinate of the point.

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

Find the point on the curve y=x^2 where the slope of the tangent is equal to the x-coordinate of the point.

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x,y)is(y-1)/(x^(2)+x)

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 point on the curve y=x^(2) where the slope of the tangent is equal to the x- coordinate of the point.