Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given by dN/dt= 1/2(t+1)^-1 where N is the number of units completed t hours after beginning a new task. If 2 units are completed after 3 hours, how many units are completed after 8 hours?

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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.