A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga then pumped into the barrel, and the resulting mixture overflows at the same rate. The amoun salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.041 ) where t is measured in minutes

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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.