The EQ on your iPod boosts the sub bass boom on your favorite Hip Hop tune by breaking the sound into small little waves, amplifying just the sub bass waves and combining them back into music again every few microseconds. Aerodynamics, vibrations, propulsion, electronics, sprinklers, traffic jams, population growth and decay, image processing, machine vision, neural networks, weather, heat transfer, engine efficiency, climate change, structural integrity, nuclear weapons, artillery trajectory, solar cells, financial derivatives pricing, and even the coffee cooling in your cup are all described by differential equations.
Anywhere where there is water flowing can be described by a DE. Light can be described by a wave equation, and similarly quantum particles (in your computer, for instance) are also described by a wave equation. īut where they REALLY come in handy is in solving differential equations (DEs) which is the math we use to describe our world.ĭEs are everywhere in our lives. Take a look at the multivarible calculus program. In multivariable calculus, it can be used for calculating flow and flux in and out of areas, and so much more it is impossible to list. At this level, integration translates into area under a curve, volume under a surface and volume and surface area of an arbitrary shaped solid.
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