A tank originally contains 640 gal of fresh water. Then water 1 containing - lb of salt per gal is poured into the tank at a rate of 2 8 gal/min, and the mixture is allowed to leave at the same rate. After 5 minutes the salt water solution flowing into the tank suddenly switches to fresh water flowing in at a rate of 8 gal/min while the solution continues to leave the tank at the same rate. Find the Laplace transform of the amount of salt y(t) in the tank. L{y} = %3D

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