This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: m , c and k . The following initial conditions are known for the system: y 1 ( ) = y 2 ( ) = and y 2 ( ) = 1 . a) Determine the expression for Y 2 s ( ) , where Y 2 s ( ) is the Laplace transform of the response y 2 t ( ) . Write your final answer for Y 2 s ( ) as a single fraction Y 2 s ( ) = N s ( ) D s ( ) . b) Determine the three poles p 1 , p 2 and p 3 of Y 2 s ( ) . c) Recall that if the poles of Y 2 s ( ) are distinct (not repeated), the partial fraction of Y 2 s ( ) can be written as: Y 2 s ( ) = A 1 s − p 1 + A 2 s − p 2 + A 3 s − p 3 . Based on the poles found above in b), describe the qualitative nature of the time response y 2 t ( ) . You do NOT need to solve for the coefficients A 1 , A 2 and A 3 in order to provide this description....
View Full Document
- Fall '10
- Laplace, following differential equation