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With initial condition $x(1)=0.5$, the solution of the differential equation,

$$t\frac{dx}{dt}+x=t$$ is

  1. $x=t-\frac{1}{2}$
  2. $x=t^2-\frac{1}{2}$
  3. $x=\frac{t^2}{2}$
  4. $x=\frac{t}{2}$
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