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The following initial value problem (IVP) represents a mass attached to a spring, which is in turn attached to the ceiling, without damping.
3. 2 y" + 80 y = 0
y(0) = -2
y'(0) = 15
a. Solve this IVP.
b. Write the solution to this IVP in the form y(t) = R cos(ω0 t - θ) and give the amplitude, period, frequency, and phase shift of the resulting motion.
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