Question: 2. Solve the following differential equations or initial-value problems. (a) 2y + 6y' - 20y = 0 (b) 2y + 6y' - 20y = 3,

2. Solve the following differential equations or initial-value problems. (a) 2y" + 6y' - 20y = 0 (b) 2y" + 6y' - 20y = 3, y(0) = 0, y'(0) = 1 dy (C) 412 ady + 9y = 0, y(0) = 2, #'(0) = -3day (d) 6- dy + 9y = eat dt 2 (e) y" + 2y' + 2y = 3x + 10, y(0) =0, y'(0) =0 (f ) " +2y' + 2y = cos(V2t) - 1

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