Euler's Method for Approximating Differential Equations [ +Python Insights ]

This Video has been sponsored by Skillshare! =D
Today we are going to introduce euler's method for solvig first degree DE's! Using the difference quotient and interpreting as the discrete h-derivative is going to be a very useful tool here in deriving this recursive algorithm!

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[non-inertialobserver]

When your code works after only the 58th try:
"Sometimes my genius is... it's almost frightening"

[jackcarr]

"Oh boi papi is going to love this :v"
- Wheeler, 1755

[allaincumming]

Now engineers and physicists can congratulate, not only constants and functions can be approximated.

[mrandersonpw]

You know Jens, this channel turned into an Engineering channel so gradually, I didn't even notice.

[benjaminbrady]

Only real g's know that it was actually archimedes who invented differential calculus but then a monk destroyed the document describing it

[yonatanh]

15:25
The error is actually getting bigger with every iteration

[ramon]

Bruh i love you. It's incredible when i'm trouble you simply come out with the insight.

[non-inertialobserver]

It wouldn't be a papa Flammy episode without the "who would win" poll

[Vincentsgm]

this is exactly what im doing those last days in class
python odeint, euler implicit/explicit, rk2, rk4

[kwirny]

Pogramming stuff is always fun, and you can always challenge yourself. C/C++ is also great for pogramming algorithms.

[wompastompa]

Python? Nah son, just pull up a spreadsheet, define a few cells, and have fun dragging the formulae for thousands of lines.

[sergey]

Loved the video, my boi. Any chance for a video about Runge-Kutta Method?

[hambonesmithsonian]

We did this exact thing in my physics seminar class!

[frozenmoon]

Approximating engineer papa at it again.

[musa]

got my tea. I'm ready for some maths

[starship]

At 15:28 you said the error is first quite big, but then gets smaller. It has an "e-05" at the end of that number though. If you look closely the error in that case gets larger.

[davide]

A serious question: does this method also work for stochastic differential equations?

[IshaaqNewton]

Flammy, I want to know about The shapes which look like Ellipse but not the same and their functions. Please, it's a big request.

[SpaghettiToaster]

Looking forward to 100k subscriber special lit method for solving high-order nonlinear PDEs analytically!

[benjaminbrady]

Sorry, I don't use that virgin python shit. I only use C or certain assemblys