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Consider the Second-Order Homogeneous Differential Equation
If the Differential

Question 12

Multiple Choice

Consider the second-order homogeneous differential equation  Consider the second-order homogeneous differential equation    If the differential equation is equipped with the initial conditions    what is the solution of the resulting initial value problem? A)    y=9 e^{2 t}-3 e^{4 t}   B)    y=6 e^{2 t}+6 e^{4 t}   C)    y=-9 e^{-2 t}-3 e^{-4 t}   D)    y=6 e^{-2 t}+6 e^{-4 t}
If the differential equation is equipped with the initial conditions  Consider the second-order homogeneous differential equation    If the differential equation is equipped with the initial conditions    what is the solution of the resulting initial value problem? A)    y=9 e^{2 t}-3 e^{4 t}   B)    y=6 e^{2 t}+6 e^{4 t}   C)    y=-9 e^{-2 t}-3 e^{-4 t}   D)    y=6 e^{-2 t}+6 e^{-4 t}
what is the solution of the resulting initial value problem?


A) y=9e2t3e4t y=9 e^{2 t}-3 e^{4 t}
B) y=6e2t+6e4t y=6 e^{2 t}+6 e^{4 t}
C) y=9e2t3e4t y=-9 e^{-2 t}-3 e^{-4 t}
D) y=6e2t+6e4t y=6 e^{-2 t}+6 e^{-4 t}

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