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Mathematica

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  • $\begingroup$ In your Latex line there is one equation and in the Mathematica code there is second one. What actually do you try to solve? $\endgroup$ Commented Apr 4, 2021 at 23:03
  • $\begingroup$ Your code works for me for the DSolveValue part, but you won't get a plot without assigning a value for lambda. If you mean what you say in your code, you need to change your Latex to match. $\endgroup$ Commented Apr 5, 2021 at 0:40
  • $\begingroup$ Sorry everyone, I was wrong to copy the function in Mathematica. I corrected the post. $\endgroup$ Commented Apr 5, 2021 at 6:34
  • $\begingroup$ Are you looking for analytical solution only? This equation can be solved by numerical method like colocation or iteration. $\endgroup$ Commented Apr 5, 2021 at 9:50
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    $\begingroup$ Just to compare. The command of Maple 2021 intsolve(f(x) + int(f(t)/(1 + (x - t)^2), t = -1 .. 1)/Pi = 1, f(x), method = collocation, order = 3) performs $$f \! \left(x \right) = 0.09775266381 x^{2}+ 0.6581514078 .$$ Analytical output is too long to be cited here. $\endgroup$ Commented Apr 5, 2021 at 12:20