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

question 174

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $y ^ { \prime } = e ^ { - 5 x } - 5 y$ Initial condition: $y ( 0 ) = 0$
Solution candidate: $y = 5 x e ^ { - 5 x }$

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