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November 22nd, 2016, 09:12 AM   #11
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Using dx/dt + x - y = -1, dy/dt + 27x - 9y = 6e^(4t) - 9, with x = 3 and y = 18 when t = 0, the solution of this system is as shown below.

x = (√2sin(√2t) + 3)e^(4t), y = (5√2sin(√2t) + 2cos(√2t) + 15)e^(4t) + 1

(with thanks to Wolfram|Alpha).
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