# Problem with EDO and solution y=x^a

1. Sep 16, 2006

### lokofer

Let's suppose we have a linear (or non linear) EDO:

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

$$D^{a+1}y_{0} (x) =0$$ (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: