10s? + 126s + 340 Consider the function F(s) (s + 1)(s² + 17s + 72) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the 8-p root p is a constant. Both c and p may be complex. 10s2 + 126s + 340 + + (s + 1)(s² + 17s + 72) Find the inverse Laplace transform of F(s). Remember to use u(t). f(t) = L-1 {F(s)} help (formulas)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
10s? + 126s + 340
Consider the function F(s)
(s + 1)(s² + 17s+ 72)
Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the
s-p'
root p is a constant. Both c and p may be complex.
10s? + 126s + 340
+
+
(s + 1)(s² + 17s+72)
Find the inverse Laplace transform of F(s). Remember to use u(t).
f(t) =
L-1 {F(s)} =
help (formulas)
Transcribed Image Text:10s? + 126s + 340 Consider the function F(s) (s + 1)(s² + 17s+ 72) Find the partial fraction decomposition of F(s). Enter all factors as first order terms in s, that is, all terms should be of the form , where c is a constant and the s-p' root p is a constant. Both c and p may be complex. 10s? + 126s + 340 + + (s + 1)(s² + 17s+72) Find the inverse Laplace transform of F(s). Remember to use u(t). f(t) = L-1 {F(s)} = help (formulas)
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