Which of the following pairs forms a fundamental set of solutions of the Cauchy Euler differential equation .
A) $ \left\{x^{-5}, x^{-5} \cos (\ln x)\right\} $
B) $ \left\{x^{5}, x^{-5}\right\} $
C) $ \left\{x^{5}, x^{5} \ln x\right\} $
D) $ \left\{x^{-5}, x^{-5} \ln x\right\} $
E) $ \left\{x^{5}, x^{5} \cos (\ln x)\right\} $

Question

Which of the following pairs forms a fundamental set of solutions of the Cauchy Euler differential equation  .
A) $ \left\{x^{-5}, x^{-5} \cos (\ln x)\right\} $ 
B) $ \left\{x^{5}, x^{-5}\right\} $ 
C) $ \left\{x^{5}, x^{5} \ln x\right\} $ 
D) $ \left\{x^{-5}, x^{-5} \ln x\right\} $ 
E) $ \left\{x^{5}, x^{5} \cos (\ln x)\right\} $

Quizplus · Accepted Answer

The Answer of Which of the following pairs forms a fundamental set of solutions of the Cauchy Euler differential equation  .
A) $ \left\{x^{-5}, x^{-5} \cos (\ln x)\right\} $ 
B) $ \left\{x^{5}, x^{-5}\right\} $ 
C) $ \left\{x^{5}, x^{5} \ln x\right\} $ 
D) $ \left\{x^{-5}, x^{-5} \ln x\right\} $ 
E) $ \left\{x^{5}, x^{5} \cos (\ln x)\right\} $

Which of the Following Pairs Forms a Fundamental Set of Solutions