I guess I should start with a very basic explanation of differential equations. Of course you probably know something about equations, right? This is the equation for the motion of an object with a constant acceleration. Notice that my examples are oriented towards physics — because that’s what I like.

I guess I should start with a very basic explanation of differential equations. Of course you probably know something about equations, right? This is the equation for the motion of an object with a constant acceleration. Notice that my examples are oriented towards physics — because that’s what I like.

This shows a relationship between two variables — in this case, the position (x) and time (t). Note: the acceleration is just a constant in this case. Great.

Now suppose that I have a mass oscillating back and forth while connected to a spring (horizontally with no friction). In that case, I have the following relationship between position (x) and the acceleration (a).

Here, k is the spring constant and m is the value of the mass. But in this case, you can see that the acceleration is NOT constant. It changes as x changes. Also, the acceleration is the derivative of the velocity (with respect to time) and the velocity is the derivative of the position. So, maybe I should write the equation as:

Now we have a relationship between a variable (x) and a derivative (technically a second derivative). This is a differential equation. There are many methods to solve differential equations — such as separation of variables, variation of parameters, or my favorite: guessing a solution.

But I’m not going to do any of those. Instead, I am going to solve a differential equation numerically.

Guide to Python Programming Language

Python is an interpreted, high-level, powerful general-purpose programming language. You may ask, Python’s a snake right? and Why is this programming language named after it?

Python Hello World Program - Your first step towards Python world. Learn how to create the Hello World Python program in PyCharm.

Python Programming Tutorials For Beginners

Today you're going to learn how to use Python programming in a way that can ultimately save a lot of space on your drive by removing all the duplicates. We gonna use Python OS remove( ) method to remove the duplicates on our drive. Well, that's simple you just call remove ( ) with a parameter of the name of the file you wanna remove done.