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Bread mold never looked so exciting. Learn how to describe the green growth on your slice of pumpernickel with a differential equation.
A.K.A. I.V.P.’s with D.E.’s. Like this sentence, it sounds more complicated than it is. This link will decrypt these problems.
If you’re terrible at mini golf, learning how to model the greens using differential equation slope fields probably won’t help. But you can be good at modeling slope fields.
Did you forget to put on your sunscreen before going to the beach? It’ll feel better if you model your skin’s cooling with a differential equation.
How long does it take to run to the fridge, make a sandwich, and sit back down to watch this video on position, velocity and acceleration? If you couldn’t answer before watching this video, now you can.
Math is a language, and its sentence is an equation. To make sure you chose a correct solution to a differential equation, plug it in like any other equation. This link shows you how.
Without initial values, differential equations orbit in space with infinitely many solutions. Bring them back to Earth using initial values.
Games and Tools
Some differential equation solutions are the most eye-catching beasts of functions you’ll see. Check out the terrifying Legendre function and the mystifying Bessel function.
Fro-yo with math: create your own differential equation. Add sprinkles and other toppings with your own initial values.
If you’re still having trouble with your putting game, you can visualize the entire green here with this tool. Input your own differential equation and you’ll get the slope field around the origin.