A Nice Differential Equation 

Audio is a bit blown

Cool!

The audio is saturated. Check what that is in the record program you use. Maybe it is just a misconfiguration Keep doing these videos, man! You explain very well always

Nice video! If I were to solve this problem I would probably write down y1=c and y2=cx+d and give up😂

You should look for the case when c=0

A linear function can be solution, or Just a constant

y = -2.log(x) also works

There is a bug in the vídeo. When is substitued c=a/2, a must disappear. However, both constant are maintained as independent. In the last integration, the integration constant has been forgotten.

before I watch this , Imma do a prediction , now y'•y'' is the same as ((y')²)'/2 now we make that equal to (y'')' and now we have (y')^2 +C1 = y" we can do a u= y' and then u' = u" then you have this u²+C1 = u' this is a seprable deffretial equation so we solve it with all cases C1 = 0 u'=u² u= -1/(x+C2) y'= -1(x+C2) y= -ln|x+C2|+C3 C1≠0 u'=u²+C1 u=√C1•tan(C1x+C2C1) y'=√C1•tan(C1x+C2C1) y=(√C1/C1)ln|sec(C1x+C2C1)|+C3 lets hope this is correct 😅

What if c2=0?

There is a nice solution for y'y''=y''' with y = -2lnx