Find the curve whose distance of every tangent from origin is equal to the abscissa of point of intersection of curve and tangent. Find this curve by appointing and solving differential equation needed.
I managed to draw this image and i am supposed to find $y$ such that blue line is equal to the yellow one. Now, i should derive some equations from this picture in order to determine the equation of the curve. Only thing i found up to now is equation of tangent $(y-y_0)=y'(x_0)(x-x_0)$ but this is nowhere near the solution, am i supposed to see more from this picture?