A strange non-linear differential equation

[@barberickarc3460]

tried solving this one for myself and after finishing the first integration, getting stuck, and checking wolfram alpha I realised how in over my head I was

[@CM63_France]

Hi, "terribly sorry about that" : 0:46 , 7:55 , 10:20 , "ok, cool" : 1:31 .

[@Calcprof]

The sum can be expressed in terms of the Poly-logarithm, or if you like the Hurwitz zeta function.

[@XclusiveScienceSecrets]

Would you like to check our answers with a dilogarithm? My version: x+B=-y*ln|exp(y)/A-1|+ln|exp(y)-A|-Li_2(exp(y)/A) I used the reflection formula to simplify the argument of the dilogarithm.

[@holyshit922]

Yes , but this equation is second order reducible to first order with substitution y'=u(y) After reduction to first order we will get two equations and one of these equations is linear but problems may appear in integration

[@Akshaylive]

Most underrated channel on KZbin.

[@XclusiveScienceSecrets]

Truly, all teachers of calculus should recommend their students to watch this channel. For their own benefit.

[@lakshay3745]

I thought you were gonna write the final answer in terms of Di-logarithm

[@MrWael1970]

Thank you for your fruitful effort.

[@xizar0rg]

This seems kind of like it lost the thread somewhere, unless we're just glossing over that there's no closed form solution while being content that we found a range for it. Did I miss something?

[@lih3391]

Heres a horrendously scrambled equation which I hope is not too hard or easy: y'+log_[x^x](y^y)=(sinx/lnx)*y^(-lnx-1)

[@unknownplayer493]

it's an exact differential equation, so the solution is (y^3)/6 +Ay +ln(sqrt(c-2y)) = x + C

[@SnowboardAddict37]

Banger alert

[@MRGamesStreamer]

Nice also put videos for matrices

[@satyam-isical]

Since y=0 is the obvious solution & there's no obvious solution so it's only solution😂

[@tyyt-dp2rf]

Im huge fan of "dearavly sorry sorry about that" *Typu mg horribly drung

[@Anonymous-Indian..2003]

Hi bro 👋

[@maths_505]

Sup bro

[@redroach401]

@@maths_505 Soup bro

[@felipefred1279]

I didn’t like the answer, but yeah nice problem 😅