What is the general solution of the homogeneous second-order Cauchy Euler differential equation are arbitrary real constants.
A) $ y=C_{1} t^{-6}+C_{2} t^{6} $
B) $ y=C_{1}(t \ln t)^{-6}+C_{2}(t \ln t)^{6} $
C) $ y=t^{-6}\left(C_{1}+C_{2} \ln t\right) $
D) $ y=C_{1} t^{-6}+C_{2}(t \ln t)^{-6} $

Question

What is the general solution of the homogeneous second-order Cauchy Euler differential equation  are arbitrary real constants.
A) $ y=C_{1} t^{-6}+C_{2} t^{6} $ 
B) $ y=C_{1}(t \ln t)^{-6}+C_{2}(t \ln t)^{6} $ 
C) $ y=t^{-6}\left(C_{1}+C_{2} \ln t\right) $ 
D) $ y=C_{1} t^{-6}+C_{2}(t \ln t)^{-6} $

Quizplus · Accepted Answer

The Answer of What is the general solution of the homogeneous second-order Cauchy Euler differential equation  are arbitrary real constants.
A) $ y=C_{1} t^{-6}+C_{2} t^{6} $ 
B) $ y=C_{1}(t \ln t)^{-6}+C_{2}(t \ln t)^{6} $ 
C) $ y=t^{-6}\left(C_{1}+C_{2} \ln t\right) $ 
D) $ y=C_{1} t^{-6}+C_{2}(t \ln t)^{-6} $

What Is the General Solution of the Homogeneous Second-Order Cauchy y=C1t−6+C2t6 y=C_{1} t^{-6}+C_{2} t^{6} y=C1​t−6+C2​t6

What Is the General Solution of the Homogeneous Second-Order Cauchy $y=C_{1} t^{-6}+C_{2} t^{6}$