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Determine If the Given Function Y = F(x) Is a Solution

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: y=e8x8y\mathrm { y } ^ { \prime } = \mathrm { e } ^ { - 8 \mathrm { x } } - 8 \mathrm { y }
Initial condition: y(8)=0y ( - 8 ) = 0
Solution candidate: y=(x+8)e8xy = ( x + 8 ) e ^ { - 8 x }

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