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Consider the differential equation $\dfrac{\mathrm{d} x }{\mathrm{d} t} = 10 – 0.2x$ with initial condition $x(0) = 1$. The response $x(t)$ for $t>0$ is

  1. $2-e^{-0.2t}$
  2. $2-e^{0.2t}$
  3. $50-49e^{-0.2t}$
  4. $50-49e^{0.2t}$
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