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