Let,s suppose i'm asked to find a function with certain properties in math, let's call this function f(x), my question is if i find that f(x) must satisfy a certain differential or integral equation let's say:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] a(x)f''+b(x)(f')^2 + c(x)tan(f) = 0 [/tex] (NOn- linear ODE )

[tex] x+ f(x)= \int_a ^ b dy log(y^2 +f(x) ) [/tex] (Non-linear equation)

The question is...does this mean that the function f(x) as a solution of an ODE or a Non-linear integral equation necessarily exist?....

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# Is this a solution?

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