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Which of the Following Are Solutions to the Homogeneous Second-Order y=t12+t y=t^{12}+t

Question 44

Multiple Choice

Which of the following are solutions to the homogeneous second-order Cauchy Euler differential equation  Which of the following are solutions to the homogeneous second-order Cauchy Euler differential equation    . Select all that apply. A)    y=t^{12}+t   B)    y=\mathrm{Cr}^{-12}  , where   \mathrm{C}   is any real constant C)    y=16 t   D)    y=C\left(\frac{1}{t^{12}}+t\right)   , where   C   is any real constant E)    y=-9 r^{12}+C  , where   C   is any real constant F)    y=C_{1} t^{12}+C_{2} t+C  , where   C_{3} C_{1}  , and   C_{2}   are arbitrary real constants . Select all that apply.


A) y=t12+t y=t^{12}+t
B) y=Cr12 y=\mathrm{Cr}^{-12} , where C \mathrm{C} is any real constant
C) y=16t y=16 t
D) y=C(1t12+t) y=C\left(\frac{1}{t^{12}}+t\right) , where C C is any real constant
E) y=9r12+C y=-9 r^{12}+C , where C C is any real constant
F) y=C1t12+C2t+C y=C_{1} t^{12}+C_{2} t+C , where C3C1 C_{3} C_{1} , and C2 C_{2} are arbitrary real constants

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