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Find the inverse Laplace transform of F(s) 393 +592 + 17s + 35 $4 + 13s2 + 36 (1) First find the partial fraction decomposition Cs + D F(s) As + B (s2 +9) + /(82 +9+ /(+ 4) (52 +4) (2) Next find the inverse Laplace transform f(t) =
3. Find the inverse Laplace transform of F(s)-
3. Find the inverse Laplace transform of F(s)-
e +e- 4. a. Find the inverse Laplace transform of b. Find the inverse Laplace transform f(t) of: then sketch the graph of f(t).
Q1. Determine the inverse Laplace Transform a) I(s) = 2125+5 9(5+1) (5F c) V() = x2 +592 +28 5152455+2) 65+ 24 = 65+241
Find the inverse Laplace transform, £^{F(s)}, of each of the following functions. Be sure to show all your worl 1. F(S) (s+2)3 = s+1 2. F(s) = $2 +48 $2 3. F(s) = (8-1)(8+1)(s+2) • 4. F(s) 6s+3 $4+592 +4 5. F(s) = 16 1 S 6. F(s) (s+2)(s2+4)
Question 1: [25 pts] S+1 a) Find the inverse Laplace transform of the expression $2+4 b) Find the inverse Laplace transform of the expression (s-5)(s2+4) c) Use the information from the parts a) and b) to find the solution of the IVP y" + 4y = 6e5t, y(0) = 1, y'(0) = 1.
Find the Inverse Laplace Transform of the following functions: F(s) = (s-4)5
Find the Inverse Laplace Transform of the following functions: F(s) = (s-4)5
Laplace Transform
12 12 + s+12 s+8 Problem 4 (15 points) : Find the inverse Laplace transform of: Fo(s) a) If the ROC is defined as: -12 < Re(s)<-8 b) If the ROC is defined as: Re(s) > -8
2. Find the inverse Laplace transform of (a) F(s) = e os s/(s – 2)(s? + 25 + 1). (b) F(s) = e 128 / 8°(s? + 4).