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x^2-2y=x^3lnx la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 2          3       
x  - 2*y = x *log(x)
$$x^{2} - 2 y = x^{3} \log{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  /  /  2        2   \                                              \                      /  2        2   \                           
  |  |re (x)   im (x)|                                              |                      |re (x)   im (x)|                           
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
  \  \  2        2   /                                              /                      \  2        2   /                           
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
=
  /  /  2        2   \                                              \                      /  2        2   \                           
  |  |re (x)   im (x)|                                              |                      |re (x)   im (x)|                           
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
  \  \  2        2   /                                              /                      \  2        2   /                           
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
producto
  /  /  2        2   \                                              \                      /  2        2   \                           
  |  |re (x)   im (x)|                                              |                      |re (x)   im (x)|                           
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
  \  \  2        2   /                                              /                      \  2        2   /                           
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
=
    //  2        2   \                                               \                       /  2        2   \                           
    |\re (x) - im (x)/*im(x*log(x))                                  |   (-1 + re(x*log(x)))*\re (x) - im (x)/                           
- I*|------------------------------ + (-1 + re(x*log(x)))*im(x)*re(x)| - ------------------------------------- + im(x)*im(x*log(x))*re(x)
    \              2                                                 /                     2                                             
$$- i \left(\frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}}{2} + \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right) - \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right)}{2} + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
-i*((re(x)^2 - im(x)^2)*im(x*log(x))/2 + (-1 + re(x*log(x)))*im(x)*re(x)) - (-1 + re(x*log(x)))*(re(x)^2 - im(x)^2)/2 + im(x)*im(x*log(x))*re(x)
Respuesta rápida [src]
       /  /  2        2   \                                              \                      /  2        2   \                           
       |  |re (x)   im (x)|                                              |                      |re (x)   im (x)|                           
y1 = I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
       \  \  2        2   /                                              /                      \  2        2   /                           
$$y_{1} = \left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
y1 = (1 - re(x*log(x)))*(re(x)^2/2 - im(x)^2/2) + i*((1 - re(x*log(x)))*re(x)*im(x) - (re(x)^2/2 - im(x)^2/2)*im(x*log(x))) + re(x)*im(x)*im(x*log(x))