Question: Consider the differential equation dy + 4y = dt2 = 3cos (2t) (i) Classify the differential equation (i.e., order, degree, homogeneous or inhomogeneous, and

Consider the differential equation dy + 4y = dt2 = 3cos (2t)

Consider the differential equation dy + 4y = dt2 = 3cos (2t) (i) Classify the differential equation (i.e., order, degree, homogeneous or inhomogeneous, and linear or non-linear). (ii) Find its complementary function. (iii) Find its particular integral. [2] [4] [5] (iv) Find its particular solution based on the initial conditions y(0)=1 and y'(0) = 2. [4]

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