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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′=e−5x−5yy ^ { \prime } = e ^ { - 5 x } - 5 y Initial condition: y(0)=0y ( 0 ) = 0
Solution candidate: y=5xe−5xy = 5 x e ^ { - 5 x }

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