Euler's Method - Concrete Example #1

In this video, I use Euler's method with step size h = 0.1 to approximate y(0.5) starting at x = 0 for a differential equation.

[Trails]

i watch your vids so much that i talk to myself with your dialect while doing my homework.. 

seriously though, you are awesome.

[Wasfrad]

If anyone is confused with the subscripts in the recursion formula, the easiest way to think about it is "Ynew = Yold + h*Y'old"

[TatoThePotato]

You are a saint who has done the impossible-you made me actually understand Euler's Method

[xtrmgamrx]

your videos are clutch for exams. Thank you 

[lifevest]

Not gonna lie...today in Math discussion, I was completely lost...now, I basically understand this! All hail patrickJMT!

[polhamus]

you are the reason why i survive calculus! thank you so much!

[Ascensiond]

Thank you patrickJMT!
We went over the formula of Euler's Method but never did a concrete example. But 50% of the online homework consisted of Euler's. Thanks for helping me learn the concept and get a good grade in Calculus!

[KimchiDavid]

You have no idea how much this helped me out...

[venosoulx]

Thanks a lot. I found a few examples and none of them did it like this. You rock.

[riverogue]

Failed at staying awake during class today and didn’t write everything down or absorb any info, thank you for this vid you’ve been saving my grade since alg 2👌

[xXMATTPHILLIPSXx]

My calculus professor didn't even give us a formula, she made us use a long ass table and it made no sense to me. This is so much more simple and makes sense.

[catscientist]

super helpful. this is the true spirit of youtube!

[TheLocalNut]

It's amazing that i thought this was hard and complicated because of how my teacher explained it, and now it seems so simple.. Thank you so much.

[SonOfChrist]

You saved me a few times during Calc 2 and now you're getting me through Differential Equations

[JWJC]

you can solve this by separation of variables; y=e^(x(x+2)/2) subbing in 0.5 gives 1.868245957. Still a great video on how to use this method which can get very confusing with constantly changing values. This method is only used to solve differential equations which cant be solved analytically such as, dy/dx=x^2+y^2

[metazoxan]

Dude thank you so much. I'm in Intro to differential equations and I'm working ahead a little so that when test time comes I'll already have my homework done and I can focus on studying for the test. But working ahead means that to do the homework I need to learn it without my teacher and the book can be confusing. But this video told me exactly what I needed to know.

[nfsYT]

when my math teacher showed it, it seemed soo complicated but now i actually get this thnx!

[Hoehne]

i got B's in calcs 2-3 thanks to you and now sitting at an A in dif eq thanks to you,

[patrickjmt]

@utnip123 to use euler's method, you have to pick some step size... i am not sure about your problem, i would have to see it!

[MorningDewPawprint]

Thank you so much Patrick! I fail to comprehend how my lecturer who has a PhD whom I saw personally to attempt to explain this, could not explain this to me properly nor be nearly as insightful as the way you have just presented it. Huge thumbs up to you sir! Also, what level of math have you studied till, any postgrad stuff?