ln(y)+y/x=0 la ecuación
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Solución
Suma y producto de raíces
[src]
/ /1\\ / /1\\
I*im|x*W|-|| + re|x*W|-||
\ \x// \ \x//
$$\operatorname{re}{\left(x W\left(\frac{1}{x}\right)\right)} + i \operatorname{im}{\left(x W\left(\frac{1}{x}\right)\right)}$$
/ /1\\ / /1\\
I*im|x*W|-|| + re|x*W|-||
\ \x// \ \x//
$$\operatorname{re}{\left(x W\left(\frac{1}{x}\right)\right)} + i \operatorname{im}{\left(x W\left(\frac{1}{x}\right)\right)}$$
/ /1\\ / /1\\
I*im|x*W|-|| + re|x*W|-||
\ \x// \ \x//
$$\operatorname{re}{\left(x W\left(\frac{1}{x}\right)\right)} + i \operatorname{im}{\left(x W\left(\frac{1}{x}\right)\right)}$$
/ /1\\ / /1\\
I*im|x*W|-|| + re|x*W|-||
\ \x// \ \x//
$$\operatorname{re}{\left(x W\left(\frac{1}{x}\right)\right)} + i \operatorname{im}{\left(x W\left(\frac{1}{x}\right)\right)}$$
i*im(x*LambertW(1/x)) + re(x*LambertW(1/x))
/ /1\\ / /1\\
y1 = I*im|x*W|-|| + re|x*W|-||
\ \x// \ \x//
$$y_{1} = \operatorname{re}{\left(x W\left(\frac{1}{x}\right)\right)} + i \operatorname{im}{\left(x W\left(\frac{1}{x}\right)\right)}$$
y1 = re(x*LambertW(1/x)) + i*im(x*LambertW(1/x))