Equation of the curve passing through the point (a, 1) and has length of subtangent =a is

Show that the equation of the curve passing through the point (2,1) and for which the sum of the subtangent and the abscissa is equal to 1 is y(x-1)=1 .

Find the equation of the curve passing through the point (0,1) if the slope of the tangent of the curve at each of it's point is sum of the abscissa and the product of the abscissa and the ordinate of the point.

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

Obtain the equation of the curve passing through the point (4,3) and at any point the gradient of the tangent to the curve is the reciprocal of the ordinate of the point.

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 (2y)/( x)

Obtain the equation of the curve passing through the point(4,3) and at any point the gradient of the tangent to the curve is the reciprocal of the ordinate of the point.

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

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point

If a curve passes through the point (1, -2) and has slope of the tangent at any point (x,y) on it as (x^2-2y)/x , then the curve also passes through the point