Question

Suppose a spring in a medium with no damping satisfies x'' + 25x = 0. Show that x(t) = 2cos(5t) solves the equation with x(0) = 2, x'(0) =0. Plot x(t).
A) x(t) = 2sin(5t)
B) x(t) = 2cos(25t)
C) x(t) = 2sin(25t)
D) x(t) = 2cos(5t)