A forest is buring so that, hours after the start of the fire, the area is hectares. It is given that, at any instant, thhe rate at which the area is increasing is proportional to .
i) Write down a differential equation which models this situation.
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ii)After 1 hour, 1000 hetares have been burnt; after 2 hours, 2000 hectares have been burnt. Find after how many hours 3000 hectares have been burnt.
Am i right for part i)?
Not sure how to do part ii)