Determine the amount of salt in the tank at time t in Example 5 if the concentration of salt in the inflowis variable and given by c_in(t) = 2 + sin(t/4) lb/gal. Without actually graphing, conjecture what the solution curve of the IVP should look like. Then use a graphing utility to plot the graph of the solution on the interval [0, 300]. Repeat for the interval [0, 600] and compare your graph with that in the following figure.

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A A = 600 500