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March 26, 2017

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The displacement s (in metres) of a body in a damped mechanical system, with no
external forces satisfies the following differential equation:
6 3 2
2
  
dt
ds
dt
d s
where t represents time in seconds. If at time t = 0, s = 0 and  5
dt
ds
m/s,
solve the differential equation for s in terms of t.

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