Problem 5 (13 Points) Compute the inverse Laplace Transform ets -1 92 +9
Problem 5. Determine the inverse Laplace transform of Problem 6. Determine the inverse Laplace transform of 2s2 4s 10 9(s) = 2(s+1) Problem 7. Determine the inverse Laplace transform of 2s 10
9. (15 points) Compute the inverse Laplace transform of each of the following functions: 5s a) F(s) = (8-2)(8 +3) 3(8-2) 82 4s + 9 b) G(8) = e-3
Thank you! 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
Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6 Problem 5: [9 Points) Find the inverse Fourier transform of the frequency functions, (a) c) x(a 2 -6
Question 5: (17 points) Use Laplace transform to solve the initial value problem V" - 4y + 4y = 2.814 -- 3)y(0) = 1, (0) = 2 (If you use convolution theorem for an inverse Laplace transform, you need to compute the integral to express your answer explicitly in terms of t.)
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
In MATLAB Use symbolic math to solve and plot Laplace Problem 3.17. Problem 3.17 Obtain the inverse Laplace transform of each of the following 4(s-4) x1(s) 22+16) a. 4 4s b. x2s) (s2+9) (s+5)e 25 x3(s)(s+1)(s+3) c. In MATLAB Use symbolic math to solve and plot Laplace Problem 3.17. Problem 3.17 Obtain the inverse Laplace transform of each of the following 4(s-4) x1(s) 22+16) a. 4 4s b. x2s) (s2+9) (s+5)e 25 x3(s)(s+1)(s+3) c.
Problem Set 10 Math 250/251 5. a) Find the Laplace transform of : 1*t t2 b) Fint the inverse Laplace transform of the function in part a). c) Using parts a) and b), find 1 *t*t Problem Set 10 Math 250/251 5. a) Find the Laplace transform of : 1*t t2 b) Fint the inverse Laplace transform of the function in part a). c) Using parts a) and b), find 1 *t*t
Signal and Systems 8 + If Problem la (10 points) Find the inverse Laplace transform of: Fo(s) 12 the ROC is defined as: -12 <Re(s) <0 Identify terms as right sided or left sided. S+12 Re(s) < 0 Re(s) >-12 Х X -12 0 Problem 1b (2 points) Circle one: The function f(t) Is: causal anti-causal not causal Explain why:
b.) Find inverse Laplace Transform f(t) of F(S) = 9% (5²+5-20)