Unformatted text preview: dy dt =1 72 √ y. Solve this equiation to ﬁnd the height of water at time t , assuming the tank is full at time t = 0. The equation is separable, we can rewrite it as dy √ y =dt 72 . Integrating both sides, we ﬁnd 2 √ y =t 72 + C. Since y (0) = 6 ft we ﬁnd that C = 2 √ 6. Therefore, y = ± √ 6t 144 ² 2 ....
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 Spring '08
 DORAIS
 Math, Calculus, dt dy

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