Question: Q2 (a) Consider the differential equation ( +2 + 1 ) dy + 4ty = 12t dt (i) Classify the differential equation (i.e. order, degree,

Q2 (a) Consider the differential equation ( +2 + 1 ) dy + 4ty = 12t dt (i) Classify the differential equation (i.e. order, degree, homogeneous or inhomogeneous, and linear or non-linear) [2] (ii) Find its general solution [6] (iii) For the initial condition y(0) = 1, find its particular solution [2]

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