ln(y)+y*x^3+x^4 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ / 4\\ / / 4\\
| | 3 -x || | | 3 -x ||
|W\x *e /| |W\x *e /|
y1 = I*im|----------| + re|----------|
| 3 | | 3 |
\ x / \ x /
$$y_{1} = \operatorname{re}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)} + i \operatorname{im}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)}$$
y1 = re(LambertW(x^3*exp(-x^4))/x^3) + i*im(LambertW(x^3*exp(-x^4))/x^3)
Suma y producto de raíces
[src]
/ / 4\\ / / 4\\
| | 3 -x || | | 3 -x ||
|W\x *e /| |W\x *e /|
I*im|----------| + re|----------|
| 3 | | 3 |
\ x / \ x /
$$\operatorname{re}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)} + i \operatorname{im}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)}$$
/ / 4\\ / / 4\\
| | 3 -x || | | 3 -x ||
|W\x *e /| |W\x *e /|
I*im|----------| + re|----------|
| 3 | | 3 |
\ x / \ x /
$$\operatorname{re}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)} + i \operatorname{im}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)}$$
/ / 4\\ / / 4\\
| | 3 -x || | | 3 -x ||
|W\x *e /| |W\x *e /|
I*im|----------| + re|----------|
| 3 | | 3 |
\ x / \ x /
$$\operatorname{re}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)} + i \operatorname{im}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)}$$
/ / 4\\ / / 4\\
| | 3 -x || | | 3 -x ||
|W\x *e /| |W\x *e /|
I*im|----------| + re|----------|
| 3 | | 3 |
\ x / \ x /
$$\operatorname{re}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)} + i \operatorname{im}{\left(\frac{W\left(x^{3} e^{- x^{4}}\right)}{x^{3}}\right)}$$
i*im(LambertW(x^3*exp(-x^4))/x^3) + re(LambertW(x^3*exp(-x^4))/x^3)