Question: 1. Convert the following differential equation to a first-order linear system: y + thy' - 3ty = e2t 2. Show that the following vector functions

1. Convert the following differential equation to a first-order linear system: y" + thy' - 3ty = e2t 2. Show that the following vector functions are linearly independent: 2 1 X1(t) = et X2 (t) = et 1 X3 (t) = e-3t 2

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