# math

posted by
**Karl Haxell**
.

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.