A reflecting mirror is made in the shape of the surface of revolution generated by revolving the curve y(x) about the x-axis. In order that light rays emitted from a point source at the origin are reflected back parallel to the x-axis, the curve y(x) must obey Y 2p 1– p2' dy where P = dæ . By solving this equation for x find the curve y(x). [Hint: Make y the subject of the formula and differentiate both sides to get a first order equation in p. Then solve that equation and substitute your solution into the original equation.]

A reflecting mirror is made in the shape of the surface of revolution generated by revolving the curve y(x) about the x-axis. In order that light rays emitted from a point source at the origin are reflected back parallel to the x-axis, the curve y(x) must obey Y 2p 1– p2' dy where P = dæ . By solving this equation for x find the curve y(x). [Hint: Make y the subject of the formula and differentiate both sides to get a first order equation in p. Then solve that equation and substitute your solution into the original equation.]