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What is the particular solution to the differential equation: $\cfrac{dy}{dt}=6t^2+2t-1$ given the initial condition $y(1)=3$?

A

$y(t)=2t^3+t^2-t$

B

$y(t)=2t^3+t^2-t+1$

C

$y(t)=2t^3+t^2-t+3$

D

$y(t)=2t^3+t^2-t+5$

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