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3. Find the inverse Laplace transforms: s+9 1 132 +9 (a) C-1 (s + 2)(s² +...
Find the inverse Laplace transforms of (a) (b) (c) s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) = (5-7)2 s 1 (2s +1) Y(s) = (822 5s + 8 (2s - 2) 21) Y(s) = Find the inverse Laplace transforms of (2s- 3)e-3,s 1) (2s (a) Y(s)2s+ ) (2s - 2) (c) Y(s) =...
(10 pts) Find the inverse Laplace transforms of 4 2 s + 3
1. (15 pts each) Find the indicated Laplace transforms and inverse Laplace transforms (1) c-*62*4533 (2)=-*{*
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
1 +s Find the inverse Laplace transforms of the following: a. F(s) = a (s+2)2 b. F(s) = -25- Hint: Complete the square in denominator 2s -1 s2-2s +10
3. Find each of the following inverse Laplace Transforms. (a) L-1 S+1 (b) L-1 92 + 2)
qa Use appropicece algebra and known Laplace transforms to find inverse la place transforms f {f(s)} 3 tlf 32+9
laplace inverse transforms by convolution 40.5 23. s(s2 - 9)
2 Find the inverse Laplace transforms of 5 7 R(s) 3-+ 3s+7 Qs)(s+2)2+25 a. b.
1. problem 2. and 3. as follows Find the inverse Laplace transforms of the following function: 2w7 F(s) = s($2 + 2Cwns + wa) "US 25 (0<5<1) Solve the following differential equation: * + 2wni+wn?x=0, (0) = a, (0) = b where a and b are constants, and 0 << < 1. Solve the following differential equation: ö + 3 + 40 = 2 sint, x(0) = 0, 0) = 0