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Find the General Solution of the Differential Equation y+8y+16y=0y^{\prime \prime}+8 y^{\prime}+16 y=0

Question 2

Multiple Choice

Find the general solution of the differential equation y+8y+16y=0y^{\prime \prime}+8 y^{\prime}+16 y=0 .


A) y=k1e4x+k2e4xy=k_{1} e^{-4 x}+k_{2} e^{-4 x}
B) y=k1e4x+k2e4xy=k_{1} e^{4 x}+k_{2} e^{4 x}
C) y=k1e4x+k2e4xy=k_{1} e^{-4 x}+k_{2} e^{4 x}
D) y=k1e4x+k2xe4xy=k_{1} e^{-4 x}+k_{2} x e^{-4 x}

Correct Answer:

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