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ye^-x=x-1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   -x        
y*E   = x - 1
$$e^{- x} y = x - 1$$
Simplificar
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$y e^{- x} = x - 1$$
Коэффициент при y равен
$$e^{- x}$$
entonces son posibles los casos para x :
Consideremos todos los casos con detalles:
Gráfica
Respuesta rápida [src] 
       /              re(x)                          re(x)      \                            re(x)    re(x)                 
y1 = I*\(-1 + re(x))*e     *sin(im(x)) + cos(im(x))*e     *im(x)/ + (-1 + re(x))*cos(im(x))*e      - e     *im(x)*sin(im(x))
$$y_{1} = i \left(\left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} - e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}$$ 
y1 = i*((re(x) - 1)*exp(re(x))*sin(im(x)) + exp(re(x))*cos(im(x))*im(x)) + (re(x) - 1)*exp(re(x))*cos(im(x)) - exp(re(x))*sin(im(x))*im(x)
Suma y producto de raíces [src] 
suma
  /              re(x)                          re(x)      \                            re(x)    re(x)                 
I*\(-1 + re(x))*e     *sin(im(x)) + cos(im(x))*e     *im(x)/ + (-1 + re(x))*cos(im(x))*e      - e     *im(x)*sin(im(x))
$$i \left(\left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} - e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}$$ 
=
  /              re(x)                          re(x)      \                            re(x)    re(x)                 
I*\(-1 + re(x))*e     *sin(im(x)) + cos(im(x))*e     *im(x)/ + (-1 + re(x))*cos(im(x))*e      - e     *im(x)*sin(im(x))
$$i \left(\left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} - e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}$$ 
producto
  /              re(x)                          re(x)      \                            re(x)    re(x)                 
I*\(-1 + re(x))*e     *sin(im(x)) + cos(im(x))*e     *im(x)/ + (-1 + re(x))*cos(im(x))*e      - e     *im(x)*sin(im(x))
$$i \left(\left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)} - 1\right) e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} - e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}$$ 
=
                                                                                               re(x)
(I*((-1 + re(x))*sin(im(x)) + cos(im(x))*im(x)) + (-1 + re(x))*cos(im(x)) - im(x)*sin(im(x)))*e
$$\left(i \left(\left(\operatorname{re}{\left(x\right)} - 1\right) \sin{\left(\operatorname{im}{\left(x\right)} \right)} + \cos{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)} - 1\right) \cos{\left(\operatorname{im}{\left(x\right)} \right)} - \sin{\left(\operatorname{im}{\left(x\right)} \right)} \operatorname{im}{\left(x\right)}\right) e^{\operatorname{re}{\left(x\right)}}$$ 
(i*((-1 + re(x))*sin(im(x)) + cos(im(x))*im(x)) + (-1 + re(x))*cos(im(x)) - im(x)*sin(im(x)))*exp(re(x))
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