Sr Examen

Otras calculadoras

((d*y)/(d*x))+(y*tgx)=(1/cosx) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
d*y                1   
--- + y*tan(x) = ------
d*x              cos(x)
$$y \tan{\left(x \right)} + \frac{d y}{d x} = \frac{1}{\cos{\left(x \right)}}$$
Gráfica
Respuesta rápida [src]
         /        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]
suma
    /        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)/
$$\operatorname{re}{\left(\frac{x}{x \sin{\left(x \right)} + \cos{\left(x \right)}}\right)} + i \operatorname{im}{\left(\frac{x}{x \sin{\left(x \right)} + \cos{\left(x \right)}}\right)}$$
producto
    /        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)))