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

question 1

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
-Differential equation: $2 x y ^ { \prime } + 2 y = \cos x$ Initial condition: $y ( \pi ) = 0$
Solution candidate: $\mathrm { y } = \frac { 2 \sin \mathrm { x } } { \mathrm { x } }$

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