differential equations

Find two linearly independent solutions of 2x^(2)y''-xy'+(6x+1)y=0, x>0

of the form 

y1= x^(r1)*(1+a1x+a2x^2+a3x^x+...)

y2= x^(r2)*(1+ b1x+b2x^2+b3x^3+...)

r1=??

a1=??

a2=??

a3=??

r2=??

b1=??

b2=??

b3=??