# Differential Equations Resources

## Best of the Web. Picked by our PhDs

### Websites

Differential Equations: Growth and Decay

Bread mold never looked so exciting. Learn how to describe the green growth on your slice of pumpernickel with a differential equation.

Initial Value Problems with Growth and Decay

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.

Differential Equations: Slope Fields

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.

### Videos

Introduction to Differential Equations

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.

Verifying Solutions to Differential Equations

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.

Initial Value Solution to a Differential Equation

Without initial values, differential equations orbit in space with infinitely many solutions. Bring them back to Earth using initial values.

### Games and Tools

Visual Differential Equation Solver

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.

Tool to Look at Initial Value Problems of Common Differential Equations

Fro-yo with math: create your own differential equation. Add sprinkles and other toppings with your own initial values.

Visualize Slope Fields

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.