Find the equation of the curve which passes through `(1,0)` and the slope of whose tangent at `(x,y)` is `(x^2+y^2)/(2xy)`

Find the equation of a curve passing through (1,1) and whose slope of tangent at a point (x, y) is -(x)/(y) .

Find the equation of a curve, passes through (-2,3) at which the slope of tangent at any point (x,y) is (2x)/(y^(2)) .

Find the equation of tangent to the curve xy = 16 which passes through (0,2) .

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)i s(y-1)/(x^2+x)dot

Find the equation of the normal to curve x^2=4y which passes through the point (1, 2).

Find the equation of the normal to curve x^2=4y which passes through the point (1, 2).

Find the equation of the curve 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 equation of the curve which passes through the point (3,-4) and has the slope (2y)/x at any point (x , y) on it.

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 the normal to the curve 2y=x^2 , which passes through the point (2,1).