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 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 the curve passing through (1, 1) and the slope of the tangent to curve at a point (x, y) is equal to the twice the sum of the abscissa and the ordinate.

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

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 the curve passing through (1,0) and which has slope 1+(y)/(x) at (x,y)

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)

Find the equation to the curve passing through (2,2) and having its slope (-(x+y)/x) at the point (x,y)

The equation of curve passing through (1,3) whose slope at any point (x,y) on it is y//x^(2) is given by