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Solve the initial value problem:

$x''-2x'+2=0,\,x(0)=0,\,x'(0)=1$

A

$x(t)=t$

B

$x(t)=t+1$

C

$x(t)=t-e^{2t}$

D

$x(t)=t+1-e^{2t}$

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