The motion of a certain spring-mass system is governed by the differential equation d^2u/dt^2+1/8du/dt+u=0 where u is measured in metres and t in seconds. If u(0)=2 and (du/dt)t=0=0 determine the subsequent motion. Also determine the time at which the mass first passes through the equilibrium position.
The area bounded by a curve, the x-axis, a fixed ordinate, and a variable ordinate is directly proportional
to the difference between the ordinates. Find the equation of the curve. Step by step and graph
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