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arctg(x)=ln(y+1) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
atan(x) = log(y + 1)
atan⁡(x)=log⁡(y+1)\operatorname{atan}{\left(x \right)} = \log{\left(y + 1 \right)}
Simplificar
Gráfica
Respuesta rápida [src] 
               sin(2*log(|1 + y|))                        I*sinh(2*arg(1 + y))          
x1 = ---------------------------------------- + ----------------------------------------
     cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))   cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
x1=sin⁡(2log⁡(∣y+1∣))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))+isinh⁡(2arg⁡(y+1))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))x_{1} = \frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} 
x1 = sin(2*log(|y + 1|))/(cos(2*log(|y + 1|)) + cosh(2*arg(y + 1))) + i*sinh(2*arg(y + 1))/(cos(2*log(|y + 1|)) + cosh(2*arg(y + 1)))
Suma y producto de raíces [src] 
suma
          sin(2*log(|1 + y|))                        I*sinh(2*arg(1 + y))          
---------------------------------------- + ----------------------------------------
cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))   cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
sin⁡(2log⁡(∣y+1∣))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))+isinh⁡(2arg⁡(y+1))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} 
=
          sin(2*log(|1 + y|))                        I*sinh(2*arg(1 + y))          
---------------------------------------- + ----------------------------------------
cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))   cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
sin⁡(2log⁡(∣y+1∣))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))+isinh⁡(2arg⁡(y+1))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} 
producto
          sin(2*log(|1 + y|))                        I*sinh(2*arg(1 + y))          
---------------------------------------- + ----------------------------------------
cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))   cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
sin⁡(2log⁡(∣y+1∣))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))+isinh⁡(2arg⁡(y+1))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} 
=
I*sinh(2*arg(1 + y)) + sin(2*log(|1 + y|))
------------------------------------------
 cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
sin⁡(2log⁡(∣y+1∣))+isinh⁡(2arg⁡(y+1))cos⁡(2log⁡(∣y+1∣))+cosh⁡(2arg⁡(y+1))\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} 
(i*sinh(2*arg(1 + y)) + sin(2*log(|1 + y|)))/(cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)))
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