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For Which of These Differential Equations Is the Characteristic Equation y+50=0 y^{\prime \prime}+50=0

Question 4

Multiple Choice

For which of these differential equations is the characteristic equation given by  For which of these differential equations is the characteristic equation given by    A)    y^{\prime \prime}+50=0   B)    y^{\prime \prime}+50 y=0   C)    y^{\prime \prime}-2 y^{\prime}+50=0   D)    y^{\prime \prime}-2 y^{\prime}+50 y=0   E)    \left(y^{\prime}-(1-7 i) \right) \left(y^{\prime}-(1+7 i) \right) =0   F)    \left(y^{\prime}-(1-7 i)  y\right) \left(y^{\prime}-(1+7 i)  y\right) =0


A) y+50=0 y^{\prime \prime}+50=0
B) y+50y=0 y^{\prime \prime}+50 y=0
C) y2y+50=0 y^{\prime \prime}-2 y^{\prime}+50=0
D) y2y+50y=0 y^{\prime \prime}-2 y^{\prime}+50 y=0
E) (y(17i) ) (y(1+7i) ) =0 \left(y^{\prime}-(1-7 i) \right) \left(y^{\prime}-(1+7 i) \right) =0
F) (y(17i) y) (y(1+7i) y) =0 \left(y^{\prime}-(1-7 i) y\right) \left(y^{\prime}-(1+7 i) y\right) =0

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