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Find the General Solution of the Differential Equation y+5y+6y=0y^{\prime \prime}+5 y^{\prime}+6 y=0

Question 24

Multiple Choice

Find the general solution of the differential equation y+5y+6y=0y^{\prime \prime}+5 y^{\prime}+6 y=0 .


A) y=k1e5x+k2exy=k_{1} e^{-5 x}+k_{2} e^{-x}
B) y=k1e3x+k2e2xy=k_{1} e^{-3 x}+k_{2} e^{-2 x}
C) y=k1e3x+k2e2xy=k_{1} e^{3 x}+k_{2} e^{2 x}
D) y=k1e5x+k2exy=k_{1} e^{5 x}+k_{2} e^{x}

Correct Answer:

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