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Unformatted text preview: containing 2 grams per liter of dye runs in at 9 liters per minute, but due to needs downstream from the tank, the wellstirred solution must run out at 6 liters per minute. How much dye is in the tank at the instant the tank becomes full? Hint: see some of your earlier work. 6. Consider the dierential equation y 004 y21 y = 0 . (a) (8 points) Find its general solution. (b) (6 points) Explain how you know that every solution of the dierential equation has the form you found in part (a). (c) (6 points) Determine so that the solution y ( t ) satisfying the dierential equation and the initial conditions y (0) = 1, y (0) = approaches 0 as t ....
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 Spring '08
 Fonken
 Calculus

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