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The Best Differential Equation I've Ever Solved 

Dr PK Math
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In this video, I am solving the best differential equation I've ever tried using Lambert W function. Such an incredibly wonderful differential equation.
#math #maths
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6 окт 2024

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Комментарии : 24   
@bfmdsm2020
@bfmdsm2020 6 часов назад
2:02 noo the plus C 😢😢
@arzaan2674
@arzaan2674 13 часов назад
Pretty nice and easygoing problem
@Min-cv7nt
@Min-cv7nt 2 дня назад
This one is tricky, I could not solve this on my own. of course, I could pretend I solved it and said it was easy but it was not worth it making a lie
@rafiihsanalfathin9479
@rafiihsanalfathin9479 День назад
Its not tricky at all, you dont have to solve for explicit solution because W Lambert function is hard to compute by hand anyway and if you are using computer to graph, you don't need explicit formula
@Min-cv7nt
@Min-cv7nt День назад
@@rafiihsanalfathin9479 Your response is irrelevant. You are using computer, not solving it. That means this is hard. This question is not about compute lambert W function but make a solution using it. That is the hard part.
@rafiihsanalfathin9479
@rafiihsanalfathin9479 День назад
@@Min-cv7nt lambert W function seems a bit arbitrary to me, function like log exp etc in general is applicable in many branch of mathematics yet lambert W function is almost nonexistent. To me, it just felt like you create an arbitrary function to solve certain things and now you have solve something the way the function is defined. Its not really useful in real life, sure you can get a taylor approximation etc but now its hard to calculate by hand so we are going in circles. So the point of solving it this way is just an added challenge and my point is you shouldn’t solve differential equations in general this way as it doesn’t really have a meaning.
@iqtrainer
@iqtrainer 2 дня назад
You are the best professor🎉
@vcvartak7111
@vcvartak7111 День назад
Converting yln(y)-y to lambart's function was a key
@secretsecret1713
@secretsecret1713 7 часов назад
Can someone explain, why don't we consider constraints? I mean when i was at school, i always was punished for using logarithms uncarefully, so i learnt when dealing with logarithms to consider constraints of variables when using it. You using logirthms here straightforawrdly, without considering sign change of y function, i mean if y is negative and y' is irratoional, technically we can't do anything with such cases.
@TheLukeLsd
@TheLukeLsd 23 часа назад
This resolution was wild.
@MrGLA-zs8xt
@MrGLA-zs8xt 2 дня назад
So nice professor
@domedebali632
@domedebali632 2 дня назад
Bravo
@dfcastro
@dfcastro День назад
Turns out that W function have two branches and thus you have two answers, one for each branch.
@rudranshtank7650
@rudranshtank7650 2 дня назад
professor I feel as if the difficulty or creativity of some of the latest problems has been degraded, of course your explanation is really good but I hope you will do more tricky problems that use new approaches and new concepts
@domedebali632
@domedebali632 2 дня назад
He is still the best. and I agree with you, wishing for more from professor
@asparkdeity8717
@asparkdeity8717 22 часа назад
This was quite an easy problem, but I like your rearranging for y at the end even though you could’ve left the answer as it
@iqtrainer
@iqtrainer 21 час назад
seems like you dont know what it means to solve differential equation. you never leave y as it is. How come you say this is an easy question when you dont know how to solve it smh
@asparkdeity8717
@asparkdeity8717 8 часов назад
@@iqtrainerleaving it as ln(y) - y = x^2 /2 + C is good enough. That family of equations solves the differential equation And I never said I couldn’t get it in terms of y, that’s piss easy as well. It’s just not needed
@СемёнСемененко-ы6с
@@asparkdeity8717 You sound Indian with that ego of yours.
@iqtrainer
@iqtrainer 2 часа назад
@@asparkdeity8717 What is that? See? You could not solve this differential equation. You never leave it like that. You could not do anything from it as you didnt know how to solve it. If you dont know, just learn. Your poor ego is there I can see.
@iqtrainer
@iqtrainer 2 часа назад
@@СемёнСемененко-ы6с Agree. Very poor ego
@sajuvasu
@sajuvasu 2 дня назад
First❤️❤️✨
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