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UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
\[\begin{align*} xy' &=yxe^{y/x} \\ y' &=y/xe^{y/x} \\ & &&\text{let } y/x=v \\ & &&y=xv \\ & &&y'=v+xv' \\ v+xv'&=ve^v \\ xv'&=e^v \\ {e^{v}}{\dd v}&=\frac{\dd x}x \\ \int{e^{v}}{\dd v}&=\int\frac{\dd x}x \\ e^{v}&=\ln x+c \\ v&=\ln(\ln x+c) \\ y/x&=\ln(\ln x+c) \\ y(x)&=x\ln(\ln x+c) \\ \end{align*}\]
 one year ago

primeralph Group TitleBest ResponseYou've already chosen the best response.1
Looks good to me.
 one year ago

papsmurf Group TitleBest ResponseYou've already chosen the best response.0
yea looks pretty good
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.1
Thanks friends !
 one year ago
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