An object on a single oscillating string may be modelled by differential equation x"(t)=-x(t) x(t) is...

An object on a single oscillating string may be modelled by differential equation x"(t)=-x(t)
x(t) is the signed length of the string at time t.

a) the trivial solution x(t) =0 satisfies the differential equation. describe what physical scenario this solution represents.
b) find at least three other solutions to the differential equation
c) describe what it means for this differential equation to have multiple solutions. what do the solutions represent.
d) suppose a string is damped by friction. propose and justify a amendment to the differential equation that accounts for the damping force.

Expert Solution

genius_generous answered 2 years ago

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