(d*y)/(d*x)=((x*y)-y)/(y+1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
$$y_{1} = 0$$
2 2
y2 = -1 + re (x) - im (x) - re(x) + I*(-im(x) + 2*im(x)*re(x))
$$y_{2} = i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} - \operatorname{re}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1$$
y2 = i*(2*re(x)*im(x) - im(x)) + re(x)^2 - re(x) - im(x)^2 - 1
Suma y producto de raíces
[src]
2 2
-1 + re (x) - im (x) - re(x) + I*(-im(x) + 2*im(x)*re(x))
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} - \operatorname{re}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1$$
2 2
-1 + re (x) - im (x) - re(x) + I*(-im(x) + 2*im(x)*re(x))
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} - \operatorname{re}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1$$
/ 2 2 \
0*\-1 + re (x) - im (x) - re(x) + I*(-im(x) + 2*im(x)*re(x))/
$$0 \left(i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(x\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} - \operatorname{re}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1\right)$$
$$0$$