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arcsin(y)=-e^(x^2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
            / 2\
            \x /
asin(y) = -E    
$$\operatorname{asin}{\left(y \right)} = - e^{x^{2}}$$
Gráfica
Respuesta rápida [src]
           /   2        2                      \    /                      2        2   \        /                      2        2   \     /   2        2                      \
           | re (x) - im (x)                   |    |                    re (x) - im (x)|        |                    re (x) - im (x)|     | re (x) - im (x)                   |
y1 = - cosh\e               *sin(2*im(x)*re(x))/*sin\cos(2*im(x)*re(x))*e               / - I*cos\cos(2*im(x)*re(x))*e               /*sinh\e               *sin(2*im(x)*re(x))/
$$y_{1} = - \sin{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \cosh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} - i \cos{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \sinh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)}$$
y1 = -sin(exp(re(x)^2 - im(x)^2)*cos(2*re(x)*im(x)))*cosh(exp(re(x)^2 - im(x)^2)*sin(2*re(x)*im(x))) - i*cos(exp(re(x)^2 - im(x)^2)*cos(2*re(x)*im(x)))*sinh(exp(re(x)^2 - im(x)^2)*sin(2*re(x)*im(x)))
Suma y producto de raíces [src]
suma
      /   2        2                      \    /                      2        2   \        /                      2        2   \     /   2        2                      \
      | re (x) - im (x)                   |    |                    re (x) - im (x)|        |                    re (x) - im (x)|     | re (x) - im (x)                   |
- cosh\e               *sin(2*im(x)*re(x))/*sin\cos(2*im(x)*re(x))*e               / - I*cos\cos(2*im(x)*re(x))*e               /*sinh\e               *sin(2*im(x)*re(x))/
$$- \sin{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \cosh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} - i \cos{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \sinh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)}$$
=
      /   2        2                      \    /                      2        2   \        /                      2        2   \     /   2        2                      \
      | re (x) - im (x)                   |    |                    re (x) - im (x)|        |                    re (x) - im (x)|     | re (x) - im (x)                   |
- cosh\e               *sin(2*im(x)*re(x))/*sin\cos(2*im(x)*re(x))*e               / - I*cos\cos(2*im(x)*re(x))*e               /*sinh\e               *sin(2*im(x)*re(x))/
$$- \sin{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \cosh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} - i \cos{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \sinh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)}$$
producto
      /   2        2                      \    /                      2        2   \        /                      2        2   \     /   2        2                      \
      | re (x) - im (x)                   |    |                    re (x) - im (x)|        |                    re (x) - im (x)|     | re (x) - im (x)                   |
- cosh\e               *sin(2*im(x)*re(x))/*sin\cos(2*im(x)*re(x))*e               / - I*cos\cos(2*im(x)*re(x))*e               /*sinh\e               *sin(2*im(x)*re(x))/
$$- \sin{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \cosh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} - i \cos{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \sinh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)}$$
=
      /   2        2                      \    /                      2        2   \        /                      2        2   \     /   2        2                      \
      | re (x) - im (x)                   |    |                    re (x) - im (x)|        |                    re (x) - im (x)|     | re (x) - im (x)                   |
- cosh\e               *sin(2*im(x)*re(x))/*sin\cos(2*im(x)*re(x))*e               / - I*cos\cos(2*im(x)*re(x))*e               /*sinh\e               *sin(2*im(x)*re(x))/
$$- \sin{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \cosh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} - i \cos{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)} \sinh{\left(e^{\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \right)} \right)}$$
-cosh(exp(re(x)^2 - im(x)^2)*sin(2*im(x)*re(x)))*sin(cos(2*im(x)*re(x))*exp(re(x)^2 - im(x)^2)) - i*cos(cos(2*im(x)*re(x))*exp(re(x)^2 - im(x)^2))*sinh(exp(re(x)^2 - im(x)^2)*sin(2*im(x)*re(x)))