d*y/((d*x))=(3*y+5)/(x-4) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ x \ / x \
y1 = - 5*re|-------| - 5*I*im|-------|
\4 + 2*x/ \4 + 2*x/
$$y_{1} = - 5 \operatorname{re}{\left(\frac{x}{2 x + 4}\right)} - 5 i \operatorname{im}{\left(\frac{x}{2 x + 4}\right)}$$
y1 = -5*re(x/(2*x + 4)) - 5*i*im(x/(2*x + 4))
Suma y producto de raíces
[src]
/ x \ / x \
- 5*re|-------| - 5*I*im|-------|
\4 + 2*x/ \4 + 2*x/
$$- 5 \operatorname{re}{\left(\frac{x}{2 x + 4}\right)} - 5 i \operatorname{im}{\left(\frac{x}{2 x + 4}\right)}$$
/ x \ / x \
- 5*re|-------| - 5*I*im|-------|
\4 + 2*x/ \4 + 2*x/
$$- 5 \operatorname{re}{\left(\frac{x}{2 x + 4}\right)} - 5 i \operatorname{im}{\left(\frac{x}{2 x + 4}\right)}$$
/ x \ / x \
- 5*re|-------| - 5*I*im|-------|
\4 + 2*x/ \4 + 2*x/
$$- 5 \operatorname{re}{\left(\frac{x}{2 x + 4}\right)} - 5 i \operatorname{im}{\left(\frac{x}{2 x + 4}\right)}$$
/ x \ / x \
5*re|-----| 5*I*im|-----|
\2 + x/ \2 + x/
- ----------- - -------------
2 2
$$- \frac{5 \operatorname{re}{\left(\frac{x}{x + 2}\right)}}{2} - \frac{5 i \operatorname{im}{\left(\frac{x}{x + 2}\right)}}{2}$$
-5*re(x/(2 + x))/2 - 5*i*im(x/(2 + x))/2