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4. The displacement y(t) of an undamped oscillator of mass m>0 on a spring with
spring constant k>0, and initial displacement a + 0 and initial velocity zero satisfies
my" + ky = 0, y(0) = a, y'(0) = 0
%3D
a. Solve this initial value problem.
b. Show that the solution is periodic with period T, meaning that y(t+T)= y(t), and
express Tin terms of m and k.

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