A curve $y=f\left(x\right)$ passes through point $P\left(1,1\right)$ . The normal to the curve at $P$ is a $\left(y-1\right)+\left(x-1\right)=0$ . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, then the equation of the curve is

Views: 723 students