Is this a non linear integral equation ?

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SUMMARY

The discussion centers on the distinction between a standard integral and a non-linear integral equation. An example of a non-linear integral equation is provided: f(x) = x + ∫₀¹ t (f(t))² dt. The objective is to determine a function f(x) that fulfills this equation, highlighting the complexity of non-linear relationships in integral equations.

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arslan894
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fx = ∫ exp(1-x^2)^.5 limits are b,-b
 
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No. That's just an integral but your notation is very ambiguous. Tell you what, I'll give you an example of a non-linear integral equation:

[tex]f(x)=x+\int_0^1 t \left(f(t)\right)^2 dt[/tex]

and the objective is to find a function f(x) that satisfies that equation.
 

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