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 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 origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinate of the point.

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

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 of that point.

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 points on the curve y=x^3 at which the slope of the tangent is equal to the y co-ordinate of the point.

The x coordinates of the point on the line x-y=5 is 5. What is the y coordinate of that point?

Find the equation of the curve passing through the point (1,1) whose differential equation is x d y=(2 x^2+1) d x(x ne 0)

Find the slope of the tangent to the curve y=x^3-3x+2 at the point whose x-coordinate is 3.