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-------------------------------------------------------------------------------- A vat holds 20 cubic feet of liquid and is initially full. Water containing 6...

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A vat holds 20 cubic feet of liquid and is initially full. Water containing 6 grams of salt per cubic foot is being poured into the vat at the rate of 4 cubic feet per minute, and is instantly mixed. The mixed liquid is draining from the vat at 4 cubic feet per minute, so the vat is always full. Let y(t) denote the number of grams of salt in the vat after t minutes. Write the differential equation for y(t) and use the graphical method to sketch two substantially-different solutions

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