HW3 - ( s + 1)( s + 3) 2 3. Solve the dierential equation 2...

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AAE 364 Control Systems Analysis Problem Set 3 Professor Inseok Hwang School of Aeronautics and Astronautics, Purdue University Fall 2011 Issued 9/9; Due 9/16 Reading Assignment: Class material for the Laplace Transform; Sections 1,2,3, and 7 in Chapter 2 and Sections 1 and 2 in Chapter 3. Problem 1 1. Obtain the inverse Laplace transform of the following function: F ( s ) = 10 e - 2 s s + 3 2. Find the inverse Laplace transforms of the following function: F ( s ) = 5 s + 3
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Unformatted text preview: ( s + 1)( s + 3) 2 3. Solve the dierential equation 2 x + 7 x + 3 x = 0 , x (0) = 2 , x (0) = 0 4. Solve the dierential equation x + 5 x = ( t ) , x (0-) = 0 5. Solve the following dierential equation: x + 2 n x + n 2 x = 0 , x (0) = a, x (0) = b where a and b are constants. 6. Solve the following dierential equation: x + 3 x + 6 x = 0 , x (0) = 0 , x (0) = 3 1...
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