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

question 34

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $y ^ { \prime } = e ^ { - 9 x } - 9 y$ Initial condition: $\mathrm { y } ( - 9 ) = 0$
Solution candidate: $y = ( x + 9 ) e ^ { - 9 x }$