Question

Find two linearly independent solutions of 2x2y′′−xy′+(−2x+1)y=0,x>0 of the form y1=xr1(1+a1x+a2x2+a3x3+⋯) y2=xr2(1+b1x+b2x2+b3x3+⋯) where r1>r2. Enter r1=...

Find two linearly independent solutions of 2x2y′′−xy′+(−2x+1)y=0,x>0 of the form

y1=xr1(1+a1x+a2x2+a3x3+⋯) y2=xr2(1+b1x+b2x2+b3x3+⋯) where r1>r2.

Enter r1= a1= a2= a3= r2= b1= b2= b3=

Note: You can earn partial credit on this problem.

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