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Consider the differential equation: y + y = f(x) a) Solve the homogeneous problem: f(x) = 0. b) Find a particular solution when f(x)

Consider the differential equation: y" + y = f(x) a) Solve the homogeneous problem: f(x) = 0. b) Find a particular solution when f(x) = sec(r) = cos(z) Note: The following facts may (or may not) be useful: [ tan(x)dr = - In cos(7)| + C [ cos=(x)dr = tan(x) + C

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