In 2730, use (12) of Section 1.1 to verify that the indicated function is a solution of

Chapter 1, Problem 27

(choose chapter or problem)

In Problems 27–30, use (12) of Section 1.1 to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of each solution.

\(\frac{d y}{d x}+(\sin x) y=x\); \(y=e^{\cos x} \int_{0}^{x} t e^{-\cos t} d t\)

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