A 1,000-gallon tank contains 200 gal of pure water. A brine solution containing .I lb of salt
Question:
(a) Set u p (but d o not solve) the initial-value problem (both DE and initial condition).
(b) Suppose that this situation continues for a very long time. What is the equilibrium solution xeq?
(c) After the solution has reached equilibrium, an additional faucet is turned on that supplies brine containing 2 lb/gal at a rate of 2 gal / sec. set up the new initial-value problem, assuming that the clock is restarted when the new faucet is turned on.
(d) How long tf does it take for the tank to fill completely after the second faucet is turned on?
(e) How much salt is in the tank when t = tf?
(f) Set up the IVP for the amount of salt in the tank for t > tf, assuming that the tank overflows.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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