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

question 136

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $x y ^ { \prime } + y = \frac { 2 x } { 9 }$
Initial condition: $y ( 9 ) = 2$
Solution candidate: $y = \frac { 9 } { x } + \frac { x } { 9 }$

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