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The solution for the differential equation $\dfrac{d^2x}{dt^2}=-9x,$ with initial conditions $x(0)=1$ and $\dfrac{dx}{dt}\bigg \vert_{t=0}=1$ , is

  1. $t^2+t+1 \\$
  2. $\sin 3t+\dfrac{1}{3}\cos3t+\dfrac{2}{3} \\$
  3. $\dfrac{1}{3}\sin3t+\cos 3t \\$
  4. $\cos 3t+t$
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