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Differential Equation and Water Leaks.

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Leaky bucket: A bucket in the shape of a cylinder has a small hole in its bottom, through which water is leaking. Let the height of the water in the bucket be h(t), let A be the cross sectional area of the bucket and a the area of the small hole. We want to find out how long will it take the bucket to empty (see attachment for more details).

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The solution shows how to construct and solve the applicable differential equation. The solution is 6 pages long.

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