Find the General Solution of the Cauchy Euler Differential Equation $y=C_{1} x^{-\frac{8}{5}}+C_{2} x^{-\frac{8}{3}}$

Multiple Choice

Find the general solution of the Cauchy Euler differential equation .

A) $y=C_{1} x^{-\frac{8}{5}}+C_{2} x^{-\frac{8}{3}}$
B) $y=C_{1} x^{\frac{8}{5}}+C_{2} x^{\frac{8}{3}}$
C) $y=C_{1} x^{\frac{5}{8}}+C_{2} x^{\frac{5}{8}} \ln x$
D) $y=C_{1} x^{\frac{8}{3}}+C_{2} x^{\frac{8}{3}} \ln x$
E) $y=C_{1} x^{\frac{8}{5}}+C_{2} x^{-\frac{8}{3}}$