9. (15 points) Compute the inverse Laplace transform of each of the following functions: 5s a)...
Compute the inverse Laplace transform of the following functions (e^-5s)/(s^2+4) show all work
Find the inverse Laplace transform of each of the following functions. a. F(s) = 5 $4(s2 + 4) t f(t) = 2*4{F($)}(6) = dw b. G(s) = 4s (s + 5)2( 32 +81) g(t) = •{F()}(t) = dw
· Evaluate the following inverse Laplace transform 2-1 S 5s + 3 ) 1 s2 + 4s +5% ] Solve the following system of differential equations S x' – 4x + y" | x' + x + y = 0, = 0. Use the method of Laplace Transforms to solve the following IVP y" + y = f(t), y(0) = 1, y'(0) = 1, where f(t) is given by J21 0, t>1. f(t) = {t, Ost<1, PIC.COLLAGE
Determine the inverse Laplace transform for each of the
following functions.
(a) F(S) = (6) F(S) = (- () FS) == () F(9) arte (e) F(s) = *s+63+3
Find the inverse Laplace transform of each of the following functions. a. F(s) = 4652 + 4) f(t) = c++{F(s)}(€) = [" 58 b. G(s) = 7 (s – 5)2(52 +36) g(t) = £•*{F(0)}(€) = *
Differential equations
Finding inverse Laplace transforms Find the inverse Laplace transform for each of the functions in Exercise Group 6.1.7.9–16. You will find partial fraction decomposition very useful. 15. F(s) = 7s + 2)3
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Chapter 13, Problem 13.35 (Circuit Solution) Find the inverse Laplace transform of the following functions. (a) F(s) -8 S+ 6 (b) F(s) - e (c) F(s)-1-e-6s S + 8 (a) Find ft) (inverse Laplace transform) at t = 9. (b) Find f(t) (inverse Laplace transform) at t = 3. (c) Find f(t) (inverse Laplace transform) at t7. ) (inverse Laplace transform) a
Determine the inverse Laplace transform of the function below. -5s Se $2 + 4s + 13 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. -5s se (t) +48 + 13 (Use parentheses to clearly denote the argument of each function.) s2+
Find the inverse Laplace transform of each of the following functions. In several of these problems, it will be helpful to write the functions 2 (as b)(cs2+ds +e) in the simpler form As B as2 + bs + c ds2+ es + f Cs+ D CsD and p2(s) = as + b T cs2 + ds + e 2
Find the Inverse Laplace
Transform of the following functions:
a. F(S) = NI b. F(9) = sta c. F(S) = d. F(s) = zi,