Use Forbenius method to solve xy+(22x)y+(x2)y=0 Your solution should include the following: 1. The indicial equation and the values of r ( 10 points) 2. Recursive formula for an (hint: equalize the power of x in all terms by setting: m=(n+1) in xm+r1,m=n in xm+r, and m=(n1) in xm+r+1,(10 points) 3. Assume a0=1 and determine the values of a1,a2, and a3 (5 points) b) 15 points Reduce the following ODE to Bessel's ODE (2x+1)2y+2(2x+1)y+16x(x+1)y=0 Use the substitution 2x+1=z and obtain the general solution in terms of Useful chain rule dxdy=y=dzdydxdzdzdy,dxdz=y=dz2d2y,dxdz+dzdydx2d2z