Consider the following linear differential equation,

cos(x)ysin(x)y=8sin(x)

(a)Calculate the Integrating factor.

I(x)=

(b)Hence calculate the solution.

Note:You must use lowercase c for your constant of integration.

y(x)=

(c)Given the initial conditiony(0)=8

, calculate the value of the constant of integration c.

Note:You must enter your answer exactly, not as a decimal.