A Beautiful Differential Equation

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❤️ y'' = y'/sqrt(y)

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PLAYLISTS 🎵 :

[mcwulf]

As soon as I saw that ln(...) I knew it was going to feature a W.

[FisicTrapella]

I did the same as you... but it is hard to solve without WA and Lambert's W

[HATTRICK]

Hello I am from India.
I wanna know why are programming engineers taught physics and chemistry in 1st year? Mathematics is helpful in further years but these two?

[moeinraies]

Hi.I can solve this solution in 2 line.this is very simple and easy.

[davidseed]

i got y=x²
y' =2x
y'' =2
ζy=x
y'/y''=x=ζy

i cant make sense of the given solutions.
eg y =x² +f(x)
y'=2x +f'
y''=2+ f''
(y'/y '')² = x²+f
(2x+f')² =( 2+f'')²(x²+f)
4x² +4f'x +f'² =
( 4+4f''+f''²)(x²+f)
= 4x² +4f + (4f''+f''²)(x²+f)
so
4f'x+f'² =4f+f(4f''+f"²) +
(4f''+f''²)(x²)
cant see it