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Early one morning it starts to snow. At 7am a snow plow sets off to clear the road. By 8am, it has gone 2 miles. It takes an additional 2 hours for the plow to go another 2 miles. Let t=0 when it begins to snow, let x denote the distance traveled by the plow at time t. Assuming the snow plow clears snow at a constant rate in cubic meters/hour. Find the DE modeling the value of x.
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