In: Math
The output of an engineering system as a function of position (x) is modeled by the differential equation y'' + 9y = 5cos(2x) - 10sin(2x), where y = f(x), y(π/2) = 2, and y'(π/2) = 6. Solve this differential equation to obtain an expression for y as a function of x (i.e., to obtain the function y(x)).