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A solution of the following differential equation is given by
\[\frac{d^{2} y}{d x^{2}}-5 \frac{d y}{d x}+6 y=0\]

  1. $y=e^{2 x}+e^{-3 x}$
  2. $y=e^{2 x}+e^{3 x}$
  3. $y=e^{-2 x}+e^{3 x}$
  4. $y=e^{-2 x}+e^{-3 x}$
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