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1347) Differential Equation: $y^{''} + 6 y^{'} + 10 y = 0$ describes a mass-spring-damper system in mechanical engineering. The position of the mass is $y$ (meters) and the independent variable is $t$ (seconds). Boundary conditions at $t = 0$ are: $y = 7$ meters and $y^{'} = 6$ meters $/ sec$ . Determine the position of the mass (meters) at $t = 0.20$ seconds.

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second time posting
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1347) Differential Equation:

y^{''} + 6 y^{'} + 10 y = 0

describes a mass-spring-damper system in mechanical engineering. The position of the mass is

y

(meters) and the independent variable is

t

(seconds). Boundary conditions at

t = 0

are:

y = 7

meters and

y^{'} = 6

meters

/ sec

. Determine the position of the mass (meters) at

t = 0.20

seconds.

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