Consider two continuously-stirred tanks filled with brine solutions connected with flows feeding into one another. The first tank is charged with 40 L water and 5 kg salt and the second with 20 L water and 4 kg salt. The flow rates into each of the tanks from the other are equivalent at 10 L min. Let x and x be the mass of salt in tanks 1 and 2, respectively, at anytime I. By performing a differential balance on each the tanks show that the resulting differential equations can be written in matrix form as d #()-(3)() = What are the values of a, b, c and d? Please note: you are not being asked to solve the differential equations, but we will look at how we can do that over the next few weeks. This is another application of linear algebra-solving systems of linear differential equations.