GATE Civil Engineering
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For the Ordinary Differential Equation ${\large\frac{d^2x}{dt^2}}-5{\large\frac{dx}{dt}}+6x=0$, with initial conditions $x(0)=0$  and ${\large\frac{dx}{dt}}(0)=10$, the solution is

  1. $-5e^{2t}+6e^{3t}$
  2. $5e^{2t}+6e^{3t}$
  3. $-10e^{2t}+10e^{3t}$
  4. $10e^{2t}+10e^{3t}$
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