d and f only Obtain the inverse Laplace transform f () for the following: 2.8 5...
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
Questions 7-12: Find the inverse Laplace transform of the following. 1) F(s) = s+7 e +2)e(s+8) 10.) F(s)+2 s2 +3s +6 2s + 22 8.) F(s)--s428- 11.) Fo) 4s+13 12s +108s2 +552s +1008 +12s +107s +426s+754 34s2 +119s+71 12.) F(s)
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.
Q3 Find the inverse Laplace transform for the following expression [20] i. F(s) 10 4s +11 s2+118+10 65° +105+2 $3+352 +2s ii. F(S) 10
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
6. (a) Determine the inverse Laplace transform of F(8) 2s - 1 32 - 4s +6 (10 marks/ (b) Solve the initial value problem using the method of Laplace transform. 7+10y = 0, y(0) = 0, (0) --3. (20 marks) (c) Solve the initial value problem: 1 dy dy 4 dx2 + 4y = 0, y(0) -- da + (0) = -1 120 marks)
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
(1 point) Find the inverse Laplace transform f(t) = C-' (F(3)) of the function F(s) = 45 52 - 16 f(t) = -1 { 4s s2 - 16 } help (formulas) (6+4+2}- Preview My Answers Submit Answers
2. (a) Find Laplace transform of tecosht s2 - 65+7 (b) Find inverse Laplace transform of (52 – 4s +5)