1. The problem statement, all variables and given/known data
Find the general solution of (x+1)2y"+3(x+1)y'+0.75y=0 that is valid in any interval not including the singular point.
2. Relevant equations
y=xr
y'=rxr-1
y"=r(r-1)xr-2
(x+1)2(r(r-1)xr-2)+3(x+1)(rxr-1)+0.75xr=0
3. The attempt at a solution
What to do next?
Find the general solution of (x+1)2y"+3(x+1)y'+0.75y=0 that is valid in any interval not including the singular point.
2. Relevant equations
y=xr
y'=rxr-1
y"=r(r-1)xr-2
(x+1)2(r(r-1)xr-2)+3(x+1)(rxr-1)+0.75xr=0
3. The attempt at a solution
What to do next?
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