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Unformatted text preview: k have to be so that the mass does not go further than 3 meters from the rest position. 3. (a) Solve ˙ x = ± 1 ² 2 11 ² 2 ³ x where the initial condition is given as x ( ) = ± 1 2 ³ (b) Repeat part (a) with external forcing: ˙ x = ± 1 ² 2 11 ² 2 ³ x + ± 1 et ³ 4. Consider the linear system ˙ x = A x of two diﬀerential equations where A is a real coeﬃcient matrix. What does the general solution of the system look like, if it is known that λ 1 = 1 + 2 i is an eigenvalue of A and v 1 = [ 1 i ] T is a corresponding eigenvector? 1...
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 Spring '12
 Park,SeungO&HanLimChoi

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