Posted by **Karl Haxell** on Tuesday, May 17, 2011 at 5:42pm.

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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