Which of these is a fundamental set of solutions for the differential equation
Select all that apply.
A) $ y_{1}=\cos (10 t) $ and $ y_{2}=\sin (10 t) $
B) $ y_{3}=7 \cos (10 t)-20 \sin (10 t) $ and $ y_{4}=10 \cos (10 t)-14 \sin (10 t) $
C) $ y_{5}=e^{-10 t} $ and $ y_{6}=e^{10 t} $
D) $ y_{7}=e^{10 t} \sin (10 t) $ and $ y_{8}=e^{10 t} \cos (10 t) $
E) $ y_{9}=7 \sin (10 t) $ and $ y_{10}=7 \sin (10 t)-8 \cos (10 t) $

Question

Which of these is a fundamental set of solutions for the differential equation  
Select all that apply.
A) $ y_{1}=\cos (10 t) $ and $ y_{2}=\sin (10 t) $ 
B) $ y_{3}=7 \cos (10 t)-20 \sin (10 t) $ and $ y_{4}=10 \cos (10 t)-14 \sin (10 t) $ 
C) $ y_{5}=e^{-10 t} $ and $ y_{6}=e^{10 t} $ 
D) $ y_{7}=e^{10 t} \sin (10 t) $ and $ y_{8}=e^{10 t} \cos (10 t) $ 
E) $ y_{9}=7 \sin (10 t) $ and $ y_{10}=7 \sin (10 t)-8 \cos (10 t) $

Quizplus · Accepted Answer

The Answer of Which of these is a fundamental set of solutions for the differential equation  
Select all that apply.
A) $ y_{1}=\cos (10 t) $ and $ y_{2}=\sin (10 t) $ 
B) $ y_{3}=7 \cos (10 t)-20 \sin (10 t) $ and $ y_{4}=10 \cos (10 t)-14 \sin (10 t) $ 
C) $ y_{5}=e^{-10 t} $ and $ y_{6}=e^{10 t} $ 
D) $ y_{7}=e^{10 t} \sin (10 t) $ and $ y_{8}=e^{10 t} \cos (10 t) $ 
E) $ y_{9}=7 \sin (10 t) $ and $ y_{10}=7 \sin (10 t)-8 \cos (10 t) $

Which of These Is a Fundamental Set of Solutions for the Differential