Find the recurrence relation for the coefficients of the power series solution of the differential equation y" + y-2y= 0 Assume the form y(x) = x Cnx". First compute y' (x)==1 Cnx-1==0 Cn+1X" Then compute y" (x) = =1 C+x-1 = n=0 Then "+y-2y=ol Cn+1+ Requiring that the terms of this series for y" + y2y vanish gives the recurrence relation Cn+2+ Cn+2= Cn+1+ c, for n = 0, 1, 2,... Cn+2x" C]x"