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

Question 111

Multiple Choice

Which of these is a fundamental set of solutions for the differential equation  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)
Select all that apply.


A) y1=cos(10t) y_{1}=\cos (10 t) and y2=sin(10t) y_{2}=\sin (10 t)
B) y3=7cos(10t) 20sin(10t) y_{3}=7 \cos (10 t) -20 \sin (10 t) and y4=10cos(10t) 14sin(10t) y_{4}=10 \cos (10 t) -14 \sin (10 t)
C) y5=e10t y_{5}=e^{-10 t} and y6=e10t y_{6}=e^{10 t}
D) y7=e10tsin(10t) y_{7}=e^{10 t} \sin (10 t) and y8=e10tcos(10t) y_{8}=e^{10 t} \cos (10 t)
E) y9=7sin(10t) y_{9}=7 \sin (10 t) and y10=7sin(10t) 8cos(10t) y_{10}=7 \sin (10 t) -8 \cos (10 t)

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