$$ y''+y'+xy=0 $$ I can't seem to get $y_1$ or $y_2$ to have any sort of pattern. I understand the technique to it but have no idea what the general solution is.
The equation I have for the coefficients is $C_{k+2}=(-(k+1)\cdot C_{k+1}-C_{k-1})/((k+2)\cdot(k+1))$ I'm pretty sure that is right, but not certain.
Also, $C_{2}=-C_{1}/2$