y=arcctg(u*v)+4*v la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
y1 = 4*re(v) + I*(4*im(v) + im(acot(u*v))) + re(acot(u*v))
$$y_{1} = i \left(4 \operatorname{im}{\left(v\right)} + \operatorname{im}{\left(\operatorname{acot}{\left(u v \right)}\right)}\right) + 4 \operatorname{re}{\left(v\right)} + \operatorname{re}{\left(\operatorname{acot}{\left(u v \right)}\right)}$$
y1 = i*(4*im(v) + im(acot(u*v))) + 4*re(v) + re(acot(u*v))
Suma y producto de raíces
[src]
4*re(v) + I*(4*im(v) + im(acot(u*v))) + re(acot(u*v))
$$i \left(4 \operatorname{im}{\left(v\right)} + \operatorname{im}{\left(\operatorname{acot}{\left(u v \right)}\right)}\right) + 4 \operatorname{re}{\left(v\right)} + \operatorname{re}{\left(\operatorname{acot}{\left(u v \right)}\right)}$$
4*re(v) + I*(4*im(v) + im(acot(u*v))) + re(acot(u*v))
$$i \left(4 \operatorname{im}{\left(v\right)} + \operatorname{im}{\left(\operatorname{acot}{\left(u v \right)}\right)}\right) + 4 \operatorname{re}{\left(v\right)} + \operatorname{re}{\left(\operatorname{acot}{\left(u v \right)}\right)}$$
4*re(v) + I*(4*im(v) + im(acot(u*v))) + re(acot(u*v))
$$i \left(4 \operatorname{im}{\left(v\right)} + \operatorname{im}{\left(\operatorname{acot}{\left(u v \right)}\right)}\right) + 4 \operatorname{re}{\left(v\right)} + \operatorname{re}{\left(\operatorname{acot}{\left(u v \right)}\right)}$$
4*re(v) + I*(4*im(v) + im(acot(u*v))) + re(acot(u*v))
$$i \left(4 \operatorname{im}{\left(v\right)} + \operatorname{im}{\left(\operatorname{acot}{\left(u v \right)}\right)}\right) + 4 \operatorname{re}{\left(v\right)} + \operatorname{re}{\left(\operatorname{acot}{\left(u v \right)}\right)}$$
4*re(v) + i*(4*im(v) + im(acot(u*v))) + re(acot(u*v))