Question: Q1: Write the general solution of the differential equations: (a) 2y + 10y = 4y (b) 64y = 16y' - y (c) 3y + 12y'

Q1:

Write the general solution of the differential equations: (a) 2y" + 10y = 4y (b) 64y" = 16y' - y (c) 3y" + 12y' = 0 (d) y"" - 5y" - 6y' = 0One solution to the differential equation tly" + 6ty' + 6y = 0,t > 0, is y =t-2. (a) Use the Reduction of Order Formula to find a second solution yz that is linearly independent to y1. (b) Find the solution to the initial value problem: thy" + 6ty' + 6y = 0, y(1) = 2,y' (1) = -2

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