Consider the following linear differential equation, (a) Calculate the Integrating factor. I(z) - sec(x) (b) Hence calculate the solution. cos(z) y + sin(z) y - 6 sin(z) Note: You must use lowercase c for your constant of integration. y(z) = 6*sec(x)+c/(sec(x))^2 (c) Given the initial condition y(0) = 9, calculate the value of the constant of integration c. Note: You must enter your answer exactly, not as a decimal. AY

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