ase330m_ps5_fall07

# ase330m_ps5_fall07 - ASE 330M Problem Set 7 1. Use Matlab...

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ASE 330M Problem Set 7 1. Use Matlab to plot the following functions for 15 t −≤≤ . a. () () 2 31 t x tet = b. () ( ) ( ) 2 sin3 1 t x te tt = c. () () ( ) 3 11 3 jt xt e t t =− ⎡⎤ ⎣⎦ 2. Sketch, by hand, the following signals a. () ( ) ( ) ( ) 2 13 t t t =+ ⋅− +− b. () ( ) ( ) ( ) ( ) 11 1 1 1 2 t t t t t =+⋅ −− ⋅ − − 3. Determine if the following systems are memoryless, time invariant, linear or nonlinear, causal, stable a. () ( ) () ( ) () 0; 0 2; 0 yt < = b. () () ( ) ( ) 23 2 +−= ±± ± c. t y x d λ λλ −∞ 4. Consider a differential equation of the form 2 22 yy y u t ππ ⎛⎞ ⎛⎞ ++ = ⎜⎟ ⎜⎟ ⎝⎠ ⎝⎠ ± , Identify the complete solution to the differential equation if 12 1 ut t t t . Follow these steps a) Sketch a plot of ( ) b) Divide the solution process into segments Seg. 1: 0 t < ( ) system at rest with no inputs Seg. 2: 0 2 t ≤< ( ) system initially at rest with a non-zero input Seg. 3: 2 t > ( ) non-zero IC w/ zero input c) Identify the characteristic equation and solve for the roots

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## This note was uploaded on 09/25/2011 for the course ASE 18510 taught by Professor Jeannefalcon during the Spring '10 term at University of Texas.

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ase330m_ps5_fall07 - ASE 330M Problem Set 7 1. Use Matlab...

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