If we double u, we'll get to you! Happy birthday. That's what the evil math teacher would say. And that's actually the part of all of this that I myself might've come up with, after having learned from this channel since over a year. That's the kind of tricks I get. But if I ended up with that end solution (which I couldn't), I'd think it's not a solution but just an irrelevant reformulation.
If you follow his answer at the end through, after solving for z namely squaring, you get the two Lambert W like Wolfram alpha gives. You then just undo the substitution z = x + y to get it in the same form.
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
yeah same method , started with x+y = t²
The thing which I would have done is write y(x)=xv(x), this would make it separable. This is a standard technique.
If we double u, we'll get to you! Happy birthday. That's what the evil math teacher would say. And that's actually the part of all of this that I myself might've come up with, after having learned from this channel since over a year. That's the kind of tricks I get. But if I ended up with that end solution (which I couldn't), I'd think it's not a solution but just an irrelevant reformulation.
Why didn't you end up with two Lamberts like wolfram alpha?
If you follow his answer at the end through, after solving for z namely squaring, you get the two Lambert W like Wolfram alpha gives. You then just undo the substitution z = x + y to get it in the same form.
You can do a double integral too
√[x+y] dy dx = √[(x³+3x²y+3xy²+y³]/6
Woo hoo, the solution you showed matched what I got.
I did u=y'=sqrt(x+y), got a separable equation in just u and u', and solved from there.
Something so humble turns into a monster
That’s the trouble with integration.
3:30 Had me crying
Nice... You can also use the below substitution
x + y = Z^2
Very nice one
Thanks
it is zed not zee
Nooooo! Zeeeeee... 😁
easy
👏👏👏👏👏👏👏👏
5:01 Eminem over here
Good 👍
Thanks
Posto u=x+y..risulta 2√(x+y)-2ln(1+√(x+y))=x+c.......isolare la y,non ne ho voglia
🏫
Horrible video, too long, never solved for y but said earlier he would and he didn’t really separate by using a multi valued function
But it was pretty exciting to try to follow. I am 2 disappointed. y?
Too much for me ..,.Must admit
Strange result
Helt muck liksom.
Please never show this to any teacher of any kind!