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(arcctg(x)-arctg(x))x^2-2x+arcctg(x)-arctg(x) equation

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Numerical solution:

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The solution

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                     2                              
(acot(x) - atan(x))*x  - 2*x + acot(x) - atan(x) = 0
$$x^{2} \left(\operatorname{acot}{\left(x \right)} - \operatorname{atan}{\left(x \right)}\right) - 2 x + \operatorname{acot}{\left(x \right)} - \operatorname{atan}{\left(x \right)} = 0$$
Numerical answer [src]
x1 = -0.441610791705328
x2 = 0.441610791705328
x2 = 0.441610791705328