Solve the following systems of simultaneous differential equations: 1. (D^2 - 2) x - 3y = e^{2t} if x = y = 1 and Dx = Dy = 0 when t = 0 (D^2 + 2) y + x = 0 2. 4x' - 2y' + 10x - 5y = 0 y' - 18x + 15y = 10
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