Determine the equation of the curve passing through the origin , the slope of the tangent of which at any point(x,y) is `(x+1)/(y+1)` .

Determine the equation of the passing through the origin, the slope of the tangent of which at any point (x,y) is (x+1)/(y+1) .

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 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 a curve passing through (2,1) if the slope of the tangent to the curve at any point (x,y) is (x^2+y^2)/(2xy)

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 (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 curve passing through the point (1,1) , given that the slope of the tangent to the curve at any point is (x)/( y)

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)