Male bees hatch from unfertilized eggs and females from fertilized ones. Therefore, female bees have two biological parents but males have only one. Conjecture and prove a formula for the number Fn+1 and Mµ+1 of female and male ancestors, respectively, in the (n + 1)st previous generation of a male bee as a function of the numbers F, and M, in the nth previous generation, n > 1. (Notice that F1 = 1 and M1 = 0.) Your formulas are examples of functions %3D called recurrence relations.

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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.