Question: 1. x + 4x = 6t; Initial condition: x(0) = 5 and (0) = 2; when system response is defined by x(t). = 3;

1. x + 4x = 6t; Initial condition: x(0) = 5 and

1. x + 4x = 6t; Initial condition: x(0) = 5 and (0) = 2; when system response is defined by x(t). = 3; 2. x + 14x +49x = 0; Initial condition: x(0) = 1 and (0) = 3; when system response is defined by x(t). dy +3y=13sin 2t ; Initial condition: y(0) = 6 when system response is dt defined by y(t). 4. Determine the stability condition of the following model equations by using the characteristic roots. 3. a. 2-5x-3x = 0 b. -10x+ 25x = 0 x+4x+7x=0 C.

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