Homework1_mae143b

# Homework1_mae143b - Question 3 Solve the following ordinary...

This preview shows pages 1–2. Sign up to view the full content.

MAE143B Homework Set 1 - due in class Thursday October 15 Question 1 Find the time functions corresponding to each of the following Laplace transforms using partial fraction expansions. Show your work and show your veriﬁcation using the residue and impulse commands in matlab. FPE-N Question 3.7 (d) 3 s 2 +9 s +12 ( s +2)( s 2 +5 s +11) , (f) 2( s +2) ( s +1)( s 2 +4) , (j) e - s s 2 . FPE-N Question 3.8 (d) s 3 +2 s +4 s 4 - 16 , (f) s 2 - 1 ( s 2 +1) 2 . Question 2 Explain why the impulse command can be used to calculate the inverse Laplace transform of F ( s ), when the inverse Laplace transform is a time function and impulse is a calculation for a system, whose inputs and outputs are time functions but which is described by a transfer function.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Question 3 Solve the following ordinary diﬀerential equations using Laplace transforms. Show your work and veriﬁcation using the initial function in matlab. FPE-N Question 3.9 (b) ¨ y ( t )-2 ˙ y ( t ) + 4 y ( t ) = 0; y (0) = 1 , ˙ y (0) = 2 . (d) ¨ y ( t ) + 3 y ( t ) = sin t ; y (0) = 1 , ˙ y (0) = 2 . Question 4 FPE-N Question 3.16. For a second-order system with transfer function 3 s 2 + 2 s-3 , determine (a) the DC gain; (b) the ﬁnal value to a step input. Explain your answers well....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Homework1_mae143b - Question 3 Solve the following ordinary...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online