If you invest P dollars in a bank account at an annual interest rate of r%, then after t years you will have B dollars, where   B=P(1+r/100)^t. (a) Find dB/dt, assuming P and r are constant. In terms of money, what does dB/dt represent?   (b) Find dB/dr, assuming P and t are constant. In terms of money, what does dB/dr represent?

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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.