The rate of disbursement dQ/dt of a 1 million dollar federal grant is proportional to the square of 100 - t. Time t is measured in days (0 sts 100), and Q is the amount that remains to be disbursed. Find the amount that remains to be disbursed after 57 days. Assume that all the money will be disbursed in 100 days. $

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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.