Consider a system of three tanks connected to one another with rates of flow r12 = 4, r21 = 3, r13 = 2, r31 = 3, r23 = 6, and r32 = 5 (rij denotes the rate of flow from tank i into tank j), all in liters/sec, and volumes V1 = 5, V2 = 10, V3 = 15, all in liters. Initially x1(0)=0, x2(0)=20, x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.