b) If a mass mis placed at the end of a spring, and if the mass is pulled downward and released, the mass-spring system will begin to oscillate. The displacement y of the mass from its resting position is given by a function of the form y = c,cos wt + c, sin wt (1) where w is a constant that depends on spring and mass. Show that set of all functions in (1) is vector a space.

b) If a mass mis placed at the end of a spring, and if the mass is pulled downward and released, the mass-spring system will begin to oscillate. The displacement y of the mass from its resting position is given by a function of the form y = c,cos wt + c, sin wt (1) where w is a constant that depends on spring and mass. Show that set of all functions in (1) is vector a space.