please answer with clear writing 3. Compute the inverse Laplace transforms of the following functions: a)...
Please make you work clear and readable. 9-25 Find the inverse Laplace transforms of the following functions: 9000 (a) Fi(8)= a (s+10° +30 5(s+10) (b) F(s) = (5+10)2 +30 (C) F (S) = (5+10)(s + 40) (d) F2() = s(s+100) (s+1000) (s+1)(8 +10)
Compute Laplace transforms of the following functions: (a) f1 = (1 + t) (b) f2 = eat sin(bt) 11, 0<t<1, (c) f3 = -1 1<t<2, | 2, t>2, Find the functions from their Laplace transforms: (a) Lyı] s(s + 1) (s +3) 2+s (b) L[42] = 52 + 2 s +5 (c) L[y3] = Solve the following initial value problems using the Laplace transform. Confirm each solution with a Matlab plot showing the function on the interval 0 <t<5. (a)...
6.28 Calculate the inverse Laplace transforms of the following functions analytically by means of the convolution theorem and verify the results by MATLAB (i) Y(s) = 2ω-s/(s2 + ω2)2. (i) Ys) 1s3a s. 6.28 Calculate the inverse Laplace transforms of the following functions analytically by means of the convolution theorem and verify the results by MATLAB (i) Y(s) = 2ω-s/(s2 + ω2)2. (i) Ys) 1s3a s.
please answer all!!' i really need these! Determine the inverse Laplace transform of the function below. 1 + 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. + Determine the inverse Laplace transform of the function below. 8 +9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 8 L S + 9 Determine the inverse Laplace...
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
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 2, 3<t<5 g(t) = 6, 5<t<8 4, 8<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. O A. g(t) = 2ut - 3) + 6(t-5) + 4u(t-8) B. g(t) = 2113,5(t) + 6115,8(t) + 4u(t-8) O c. g(t) = 2113,5(t)...
OF -1 One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as I (1= - t) ft), wheref="{F). Use this equation to compute -'F) ds F(s) - arctan 18 5 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms '9-0 Enter your answer in the answer box • Previous ch
2. Determine the Laplace transforms of the periodic functions in Fig. An 1 2 3 4 0 246 3. Determine the inverse Laplace transform of each of the following functions: (a) F(s)4+ (b) G(s) 3s+ H)+3) (d) J(s) = (s +2)2(s + 4) Find the inverse Laplace transform of: s s+1 s+4 4 12 4. s+13 s(S +4s
use laplace transforms and inverse laplace transforms to solve the following system of equations 2 3x (t) - y'(t) + y(t) t3 x(0) = 0; x y(0)-0; y (0) 0: y (0) 0 '(0) 0 2 3x (t) - y'(t) + y(t) t3 x(0) = 0; x y(0)-0; y (0) 0: y (0) 0 '(0) 0
+ 44 7-8 Use the shifting theorems to compute. the inverse Laplace transforms L F (S) = 25-1 S2-45+20 7. (2 -55 e 8. F(S) = s²+65+10 and lifting theoren