Solve b using the given information.

b. Show that the equation x(t) = X cos (wt + do) satisfies the equation d2 x m d+2 =-kx(t) Hint: To find dx/dt you can use the fact that the derivative of cos o is -sin o along with the chain rule for differentiation. Also, you can find d2x/dt2 by noting that this represents the derivative of dx/dt so you can use the fact that the derivative of sin dis cos o