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

question 2

True/False

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

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