Tank Mixing Problems
In this video, we look at tank mixing problems using separable differential equations. We assume that the inflow and outflow rates are the same--but this process can be adapted to trickier situations! We start by setting up the differential equation for the rate of change of a substance (like salt) in a tank over time. We solve for A(t), the function representing the amount of the substance using separation of variables. We also find the concentration C(t) of the substance over time. We work through two examples to demonstrate the entire process. #mathematics #math #ordinarydifferentialequations #separabledifferentialequations #tankmixing This video is part of my full Single Variable Calculus II course playlist (Calc 2, MA 241 at NC State University): • Single Variable Calculus II - Complete Sem... #calculus2 #singlevariablecalculus
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