The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 K^2/3.Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where K(t) = 2t4 + 3t + 149/ t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time?(b) At what rate will production be changing with respect to time 5 months from now? Will production be increasing or decreasing at this time?

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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.