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Unformatted text preview: -( + ) k ( t ) k ( t ) = x ( t ) (1-( + )) k ( t )-( + ) . (4) Using (4) into (3), we have that: x ( t ) = (1-( + )) Bs-(1-( + ))( + n + g ) x ( t ) . (5) This is a standard linear rst-order dierential equation in x ( t ). See the mathematical appendix of lecture 3 to see an analogous solution to this equation. Notice that since h is proportional to k , they will approach the steady-state at the same rate. 1...
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- Spring '11