x-y-C*e^(x-(y-x))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ / / x\\\ / / x\\
y1 = I*\im(x) + im\W\-c*e /// + re(x) + re\W\-c*e //
$$y_{1} = i \left(\operatorname{im}{\left(x\right)} + \operatorname{im}{\left(W\left(- c e^{x}\right)\right)}\right) + \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(W\left(- c e^{x}\right)\right)}$$
y1 = i*(im(x) + im(LambertW(-c*exp(x)))) + re(x) + re(LambertW(-c*exp(x)))
Suma y producto de raíces
[src]
/ / / x\\\ / / x\\
I*\im(x) + im\W\-c*e /// + re(x) + re\W\-c*e //
$$i \left(\operatorname{im}{\left(x\right)} + \operatorname{im}{\left(W\left(- c e^{x}\right)\right)}\right) + \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(W\left(- c e^{x}\right)\right)}$$
/ / / x\\\ / / x\\
I*\im(x) + im\W\-c*e /// + re(x) + re\W\-c*e //
$$i \left(\operatorname{im}{\left(x\right)} + \operatorname{im}{\left(W\left(- c e^{x}\right)\right)}\right) + \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(W\left(- c e^{x}\right)\right)}$$
/ / / x\\\ / / x\\
I*\im(x) + im\W\-c*e /// + re(x) + re\W\-c*e //
$$i \left(\operatorname{im}{\left(x\right)} + \operatorname{im}{\left(W\left(- c e^{x}\right)\right)}\right) + \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(W\left(- c e^{x}\right)\right)}$$
/ / / x\\\ / / x\\
I*\im(x) + im\W\-c*e /// + re(x) + re\W\-c*e //
$$i \left(\operatorname{im}{\left(x\right)} + \operatorname{im}{\left(W\left(- c e^{x}\right)\right)}\right) + \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(W\left(- c e^{x}\right)\right)}$$
i*(im(x) + im(LambertW(-c*exp(x)))) + re(x) + re(LambertW(-c*exp(x)))