ABSTRACT

Welcome to the rich world that is differential equations. What prompted you to embark on this journey? Are you hunting for answers to questions about the Universe? Are you, as the result of allergies, contemplating taking two tablets instead of one to alleviate symptoms, but seek mathematical affirmation of the effectiveness of this decision? Have you wondered why it is that while you are standing atop the Empire State Building - swaying back and forth, back and forth, ... - the building doesn’t simply concede defeat and snap in half? Are you curious as to how quickly the avian flu virus can spread throughout the world, infecting unsuspecting passerbyes? Or, how about those airplane wings - why don’t they simply break apart in the middle of flight?