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week_03_3.1,3.3 - MATH2860U Chapter 3 1 MODELLING WITH...

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MATH2860U: Chapter 3 1 MODELLING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS Linear Models (Section 3.1 of Zill and Cullen, pg. 83) Recall: Earlier, we discussed the process of setting up linear models. We also discussed how to solve linear differential equations. Let’s put all of this together and solve some linear DEs arising in applications. Application: A 2000L tank contains 70 L of water with 0.3 kg/L of dissolved salt. Water containing 0.1 kg of salt per litre enters the tank at a rate of 8 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 6 L/min. How much salt will be in the tank after 5 min?
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