# Differential Equations

### Best of the Web

### 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.

**Newton’s Model of Cooling Using 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.

### 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.