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Two tanks each contain 100 gal of water and tank 2 initially has 50 lbs of...

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Mechanical Engineering

Two tanks each contain 100 gal of water and tank 2 initially has50 lbs of salt uniformly dissolved in it. An external flow bringsadds 5 gal/min to tank 1 with 5 lbs of salt in it. Tank 1 feedstank 2 at 10 gal/min, and tank 2 feeds back to tank 1 at 5 gal/min.Finally, an exit stream leaves tank 2 at 5 gal/min.

1) Use Laplace transforms to solve the system of ODEs modelingthis system and report the amount of salt in tank 2 as a functionof time.

2)find the Homogeneous solution for the system of ODEs abovewithout Laplace transforms; instead, usingeigenvalues/eigenvectors.

3)Solve the Particular solution for the system of ODEs aboveusing Undetermined Coefficients.

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