Let's suppose we have a linear (or non linear) EDO:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] F(x,y,y',y'',y''',....)=0 [/tex] we don't know how to solve it.. but we know that the EDO has a "particular" solution [tex] y_{0} (x)=x^{a} [/tex] where a can be a real or complex number.. then if we apply the operator:

[tex] D^{a+1}y_{0} (x) =0 [/tex] (fractional differential operator)

Unfortunately we don't know what "a" is my main question is ¿could it be calculated exactly?..thanks. (i'm refering to the exponent a ) :grumpy: :grumpy:

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# Problem with EDO and solution y=x^a

Can you offer guidance or do you also need help?

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