-(1/(y/x))*log(y/x)=1/x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
/ /2\\ / /2\\
| W|-|| | W|-||
| \y/| | \y/|
| ----| | ----|
| 2 | | 2 |
I*im\y*e / + re\y*e /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
/ /2\\ / /2\\
| W|-|| | W|-||
| \y/| | \y/|
| ----| | ----|
| 2 | | 2 |
I*im\y*e / + re\y*e /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
/ /2\\ / /2\\
| W|-|| | W|-||
| \y/| | \y/|
| ----| | ----|
| 2 | | 2 |
I*im\y*e / + re\y*e /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
/ /2\\ / /2\\
| W|-|| | W|-||
| \y/| | \y/|
| ----| | ----|
| 2 | | 2 |
I*im\y*e / + re\y*e /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
i*im(y*exp(LambertW(2/y)/2)) + re(y*exp(LambertW(2/y)/2))
/ /2\\ / /2\\
| W|-|| | W|-||
| \y/| | \y/|
| ----| | ----|
| 2 | | 2 |
x1 = I*im\y*e / + re\y*e /
$$x_{1} = \operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
x1 = re(y*exp(LambertW(2/y)/2)) + i*im(y*exp(LambertW(2/y)/2))