(Solved): The point \( x=0 \) is a singular regular point of the following differential equation: \( x y^{\p ...

The point \( x=0 \) is a singular regular point of the following differential equation: \( x y^{\prime \prime}+(x-1) y^{\prime}-2 y=0 \) by frobenius theorm there exists a nonzero soultion of the form \( w(r, x)=x^{\wedge} r E^{\wedge} \infty(b e l o w \) the \( x) n=0 \) anx`^n. Find a recursive relation satisfied by the coefficients an.