Find the General Solution of the Cauchy Euler Differential Equation $y=(x+1)^{-7}\left(C_{1}+C_{2} \ln x\right)$

Multiple Choice

Find the general solution of the Cauchy Euler differential equation .

A) $y=(x+1) ^{-7}\left(C_{1}+C_{2} \ln x\right)$
B) $y=C_{1}(x+1) ^{-7}+C_{2}(x+1) ^{7}$
C) $y=(x+1) ^{-7}\left(C_{1} \sin (\ln x) +C_{2} \cos (\ln x) \right)$
D) $y=(x+1) ^{7}\left(C_{1}+C_{2} \ln x\right)$
E) $y=(x+1) ^{7}\left(C_{1} \ln (\sin x) +C_{2} \ln (\cos x) \right)$