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

question 97

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $x y ^ { \prime } + y = \frac { 2 x } { 5 }$
Initial condition: $\mathrm { y } ( 5 ) = 2$
Solution candidate: $y = \frac { 5 } { x } + \frac { x } { 5 }$