If slope of tangent to any curve passing through `(2,2)`be `(x^(2)-(y)/(x))` ,then equation of curve

The slope of tangent at (x,y) to a curve passing through (2, 1) is (x^(2)+y^(2))/(2xy) , then the equation of the curve is

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

If the slope of tangent to the curve at every point on it is (-2xy)/(x^(2)+1) , then the equation of curve passing throgh the point (1,2) is

A curve passes through (2, 0) and the slope of tangents at point P(x, y) equals ((x+1)^(2)+y-3)/((x+1)) . Find the equation of the curve and area enclosed by the curve and the X-axis in the fourth quadrant.

The slope of the tangent at (x,y) to a curve passing through (1,(pi)/(4)) is given by (y)/(x)-cos^(2)((y)/(x)), then the equation of the curve is

A curve passes through the point (3,-4) and the slope of.the is the tangent to the curve at any point (x,y) is (-(x)/(y)) .find the equation of the curve.

If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is (x^(2)-4x+y+8)/(x-2) , then this curve also passes through the point:

If slope of the tangent at the point (x, y) on the curve is (y-1)/(x^(2)+x) , then the equation of the curve passing through M(1, 0) is :

The slope of the tangent to the curve at any point is equal to y + 2x. Find the equation of the curve passing through the origin .