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(x²+y²)^cos(x*y)+arctang(x*y²)=z la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
         cos(x*y)                 
/ 2    2\               /   2\    
\x  + y /         + atan\x*y / = z
(x2+y2)cos⁡(xy)+atan⁡(xy2)=z\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}} + \operatorname{atan}{\left(x y^{2} \right)} = z
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
  /  /         cos(x*y)\                 \     /         cos(x*y)\                 
  |  |/ 2    2\        |     /    /   2\\|     |/ 2    2\        |     /    /   2\\
I*\im\\x  + y /        / + im\atan\x*y /// + re\\x  + y /        / + re\atan\x*y //
i(im⁡((x2+y2)cos⁡(xy))+im⁡(atan⁡(xy2)))+re⁡((x2+y2)cos⁡(xy))+re⁡(atan⁡(xy2))i \left(\operatorname{im}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{im}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)}\right) + \operatorname{re}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)} 
=
  /  /         cos(x*y)\                 \     /         cos(x*y)\                 
  |  |/ 2    2\        |     /    /   2\\|     |/ 2    2\        |     /    /   2\\
I*\im\\x  + y /        / + im\atan\x*y /// + re\\x  + y /        / + re\atan\x*y //
i(im⁡((x2+y2)cos⁡(xy))+im⁡(atan⁡(xy2)))+re⁡((x2+y2)cos⁡(xy))+re⁡(atan⁡(xy2))i \left(\operatorname{im}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{im}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)}\right) + \operatorname{re}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)} 
producto
  /  /         cos(x*y)\                 \     /         cos(x*y)\                 
  |  |/ 2    2\        |     /    /   2\\|     |/ 2    2\        |     /    /   2\\
I*\im\\x  + y /        / + im\atan\x*y /// + re\\x  + y /        / + re\atan\x*y //
i(im⁡((x2+y2)cos⁡(xy))+im⁡(atan⁡(xy2)))+re⁡((x2+y2)cos⁡(xy))+re⁡(atan⁡(xy2))i \left(\operatorname{im}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{im}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)}\right) + \operatorname{re}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)} 
=
  /  /         cos(x*y)\                 \     /         cos(x*y)\                 
  |  |/ 2    2\        |     /    /   2\\|     |/ 2    2\        |     /    /   2\\
I*\im\\x  + y /        / + im\atan\x*y /// + re\\x  + y /        / + re\atan\x*y //
i(im⁡((x2+y2)cos⁡(xy))+im⁡(atan⁡(xy2)))+re⁡((x2+y2)cos⁡(xy))+re⁡(atan⁡(xy2))i \left(\operatorname{im}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{im}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)}\right) + \operatorname{re}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)} 
i*(im((x^2 + y^2)^cos(x*y)) + im(atan(x*y^2))) + re((x^2 + y^2)^cos(x*y)) + re(atan(x*y^2))
Respuesta rápida [src] 
       /  /         cos(x*y)\                 \     /         cos(x*y)\                 
       |  |/ 2    2\        |     /    /   2\\|     |/ 2    2\        |     /    /   2\\
z1 = I*\im\\x  + y /        / + im\atan\x*y /// + re\\x  + y /        / + re\atan\x*y //
z1=i(im⁡((x2+y2)cos⁡(xy))+im⁡(atan⁡(xy2)))+re⁡((x2+y2)cos⁡(xy))+re⁡(atan⁡(xy2))z_{1} = i \left(\operatorname{im}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{im}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)}\right) + \operatorname{re}{\left(\left(x^{2} + y^{2}\right)^{\cos{\left(x y \right)}}\right)} + \operatorname{re}{\left(\operatorname{atan}{\left(x y^{2} \right)}\right)} 
z1 = i*(im((x^2 + y^2)^cos(x*y)) + im(atan(x*y^2))) + re((x^2 + y^2)^cos(x*y)) + re(atan(x*y^2))
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