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Differential equation

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Find the particular solution of the following differential equation:

12(d^2y/dt^2)-3y=0
given that when t=0, y=3 and dy/dt=0.5

and could you explain the reasons for choosing y=e^(rt).

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Find the particular solution of the following differential equation
12(d2y/dt2) - 3y=0
given that when t=0, y=3 and dy/dt=0.5

Choosing y = ert simply by ...

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