Problem

PART 1: Fill in the blanks.

• Work need not be shown, only answers will be graded.

• 4 points for each blank and 100 points total.

• Each answer need to be clearly labeled on the answer sheet.

• Use of any device with computer algebra system during the exam will result in zero points.

8. Suppose that $y'+y=2\cos x$ with $y(0)=2$, then $y\left(\dfrac{\pi}{6}\right)=\underline{\quad(11)\quad}$.