Solve the initial value problem.

left parenthesis cosine x right parenthesis StartFraction dy Over dx EndFraction plus y sine x equals $2$ x cosine squared x$,$

$$y left parenthesis StartFraction $2$ pi Over $3$ EndFraction right parenthesis equals StartFraction $5$ pi squared Over $18$ EndFraction

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Part $1$

The solution is

$$y$($x$)$equalsenter your response here.