Question 1 Given the differential equation 3y" - 21y' + 36y=3e-4² a) Classify the given differential equation. b) Solve the associated homogeneous differential equation. c) Solve the given differential equation 4z 3y" - 21y' + 36y=3e by variation of parameters, subject to the initial conditions y(0) = 0 and y' (0) = 1.

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