Question: The solution to the Initial value problem a + 2x + 2x = 5 cos(7t), x(0) = 0, x (0) = 0 is the sum

The solution to the Initial value problem a + 2x + 2x = 5 cos(7t), x(0) = 0, x (0) = 0 is the sum of the steady periodic solution sp and the transient solution atr. Find both T sp and Ctr. 158 36 C sp 6565 COs ( 7 ) + 6565 sin (7t) 3 Ctr e -t 410 cos ( 7t ) 61 410 sin (t) 410 3 cos(7t) - 8 sin (7t) )

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