The free-vibration response of a block hanging from a linear spring is the same as that of the block attached to the same spring, but sliding on a frictionless surface. Is the response the same if the spring has a force-displacement relation given by the following?

(a) \(F=k_{1} x+k_{3} x^{3}\)

(b) \(F=k_{1} x+k_{2} x^{2}\)

(c) \(F=k_{1} x, x

(d) \(F=k_{2} x, x>x_{0}\)