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

  1. $t^2+t+1$
  2. $\sin3t+\frac{1}{3}\cos3t+\frac{2}{3}$
  3. $\frac{1}{3}\sin3t+\cos3t$
  4. $\cos3t+t$
in Differential Equations by (9.2k points)
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