In Problems 1 and 2 verify that the indicated pair of functions is a solution of the given system of differential equations on the interval (-∞, ∞).

1.

2.

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dx = x + 3y dt dy 5x + 3y, dt x = e-2 + 3e6, –21 y = -e-2 + Se6r d?x = 4y + e' dt? d²y = 4x – e'; dt? x = cos 2t + sin 2t + e', y = -cos 21 – sin 21 –e ||