Consider a complete graph with 6 vertices labeled A, B, F. (a) If you can start at any vertex, how many Hamiltonian circuits exist? (b) If you can start at any vertex, how many different Hamiltonian circuits exist if a circuit and its mirror image are not counted as separate circuits? (c) If you start at vertex B, how many different Hamiltonian circuits exist if a circuit and its mirror image are not counted as separate circuits?

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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.